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Finding the Fourth Proportional to 11,372.68, 15,695.10 and 6,337.24

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Solution

The fourth proportional to 11,372.68, 15,695.10 and 6,337.24 is: 8,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372.68 : 15,695.10 = 6,337.24 : x
  2. Step 2: Convert to fraction form
    11,372.68/15,695.10 = 6,337.24/x
  3. Step 3: Cross multiply
    11,372.68x = 15,695.10 × 6,337.24
  4. Step 4: Simplify right side
    11,372.68x = 99,463,615.52
  5. Step 5: Solve for x
    x = 99,463,615.52/11,372.68
  6. Step 6: Final answer
    x = 8,745.84

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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.