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Finding the Fourth Proportional to 9,737.75, 13,438.10 and 5,321.75

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Solution

The fourth proportional to 9,737.75, 13,438.10 and 5,321.75 is: 7,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.75 : 13,438.10 = 5,321.75 : x
  2. Step 2: Convert to fraction form
    9,737.75/13,438.10 = 5,321.75/x
  3. Step 3: Cross multiply
    9,737.75x = 13,438.10 × 5,321.75
  4. Step 4: Simplify right side
    9,737.75x = 71,514,208.68
  5. Step 5: Solve for x
    x = 71,514,208.68/9,737.75
  6. Step 6: Final answer
    x = 7,344.02

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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.