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Finding the Fourth Proportional to 9,737.26, 13,437.48 and 7,375.30

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Solution

The fourth proportional to 9,737.26, 13,437.48 and 7,375.30 is: 10,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.26 : 13,437.48 = 7,375.30 : x
  2. Step 2: Convert to fraction form
    9,737.26/13,437.48 = 7,375.30/x
  3. Step 3: Cross multiply
    9,737.26x = 13,437.48 × 7,375.30
  4. Step 4: Simplify right side
    9,737.26x = 99,105,446.24
  5. Step 5: Solve for x
    x = 99,105,446.24/9,737.26
  6. Step 6: Final answer
    x = 10,177.96

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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.