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Finding the Fourth Proportional to 10,534.54, 15,733.43 and 9,545.40

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Solution

The fourth proportional to 10,534.54, 15,733.43 and 9,545.40 is: 14,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.54 : 15,733.43 = 9,545.40 : x
  2. Step 2: Convert to fraction form
    10,534.54/15,733.43 = 9,545.40/x
  3. Step 3: Cross multiply
    10,534.54x = 15,733.43 × 9,545.40
  4. Step 4: Simplify right side
    10,534.54x = 150,181,882.72
  5. Step 5: Solve for x
    x = 150,181,882.72/10,534.54
  6. Step 6: Final answer
    x = 14,256.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.