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Finding the Fourth Proportional to 10,517.76, 15,775.92 and 9,908.64

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Solution

The fourth proportional to 10,517.76, 15,775.92 and 9,908.64 is: 14,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.76 : 15,775.92 = 9,908.64 : x
  2. Step 2: Convert to fraction form
    10,517.76/15,775.92 = 9,908.64/x
  3. Step 3: Cross multiply
    10,517.76x = 15,775.92 × 9,908.64
  4. Step 4: Simplify right side
    10,517.76x = 156,317,911.95
  5. Step 5: Solve for x
    x = 156,317,911.95/10,517.76
  6. Step 6: Final answer
    x = 14,862.28

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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.