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Finding the Fourth Proportional to 13,497.59, 18,600.89 and 9,714.08

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Solution

The fourth proportional to 13,497.59, 18,600.89 and 9,714.08 is: 13,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.59 : 18,600.89 = 9,714.08 : x
  2. Step 2: Convert to fraction form
    13,497.59/18,600.89 = 9,714.08/x
  3. Step 3: Cross multiply
    13,497.59x = 18,600.89 × 9,714.08
  4. Step 4: Simplify right side
    13,497.59x = 180,690,391.96
  5. Step 5: Solve for x
    x = 180,690,391.96/13,497.59
  6. Step 6: Final answer
    x = 13,386.87

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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.