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Finding the Fourth Proportional to 15,948.49, 22,006.02 and 9,234.40

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Solution

The fourth proportional to 15,948.49, 22,006.02 and 9,234.40 is: 12,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.49 : 22,006.02 = 9,234.40 : x
  2. Step 2: Convert to fraction form
    15,948.49/22,006.02 = 9,234.40/x
  3. Step 3: Cross multiply
    15,948.49x = 22,006.02 × 9,234.40
  4. Step 4: Simplify right side
    15,948.49x = 203,212,391.09
  5. Step 5: Solve for x
    x = 203,212,391.09/15,948.49
  6. Step 6: Final answer
    x = 12,741.80

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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.