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Finding the Fourth Proportional to 10,737.87, 14,815.22 and 6,961.20

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Solution

The fourth proportional to 10,737.87, 14,815.22 and 6,961.20 is: 9,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.87 : 14,815.22 = 6,961.20 : x
  2. Step 2: Convert to fraction form
    10,737.87/14,815.22 = 6,961.20/x
  3. Step 3: Cross multiply
    10,737.87x = 14,815.22 × 6,961.20
  4. Step 4: Simplify right side
    10,737.87x = 103,131,709.46
  5. Step 5: Solve for x
    x = 103,131,709.46/10,737.87
  6. Step 6: Final answer
    x = 9,604.48

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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.