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Finding the Fourth Proportional to 14,146.92, 19,524.23 and 7,859.29

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Solution

The fourth proportional to 14,146.92, 19,524.23 and 7,859.29 is: 10,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.92 : 19,524.23 = 7,859.29 : x
  2. Step 2: Convert to fraction form
    14,146.92/19,524.23 = 7,859.29/x
  3. Step 3: Cross multiply
    14,146.92x = 19,524.23 × 7,859.29
  4. Step 4: Simplify right side
    14,146.92x = 153,446,585.60
  5. Step 5: Solve for x
    x = 153,446,585.60/14,146.92
  6. Step 6: Final answer
    x = 10,846.64

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.