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Finding the Fourth Proportional to 14,195.54, 19,589.84 and 8,230.68

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Solution

The fourth proportional to 14,195.54, 19,589.84 and 8,230.68 is: 11,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.54 : 19,589.84 = 8,230.68 : x
  2. Step 2: Convert to fraction form
    14,195.54/19,589.84 = 8,230.68/x
  3. Step 3: Cross multiply
    14,195.54x = 19,589.84 × 8,230.68
  4. Step 4: Simplify right side
    14,195.54x = 161,237,704.29
  5. Step 5: Solve for x
    x = 161,237,704.29/14,195.54
  6. Step 6: Final answer
    x = 11,358.34

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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.