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Finding the Fourth Proportional to 14,015.48, 19,341 and 7,642.19

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Solution

The fourth proportional to 14,015.48, 19,341 and 7,642.19 is: 10,546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.48 : 19,341 = 7,642.19 : x
  2. Step 2: Convert to fraction form
    14,015.48/19,341 = 7,642.19/x
  3. Step 3: Cross multiply
    14,015.48x = 19,341 × 7,642.19
  4. Step 4: Simplify right side
    14,015.48x = 147,807,596.79
  5. Step 5: Solve for x
    x = 147,807,596.79/14,015.48
  6. Step 6: Final answer
    x = 10,546.02

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Half scale
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Double scale
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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.