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Finding the Fourth Proportional to 10,912.67, 16,358.07 and 9,600.47

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Solution

The fourth proportional to 10,912.67, 16,358.07 and 9,600.47 is: 14,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.67 : 16,358.07 = 9,600.47 : x
  2. Step 2: Convert to fraction form
    10,912.67/16,358.07 = 9,600.47/x
  3. Step 3: Cross multiply
    10,912.67x = 16,358.07 × 9,600.47
  4. Step 4: Simplify right side
    10,912.67x = 157,045,160.29
  5. Step 5: Solve for x
    x = 157,045,160.29/10,912.67
  6. Step 6: Final answer
    x = 14,391.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.