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Finding the Fourth Proportional to 9,758.55, 13,468.92 and 6,171.24

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Solution

The fourth proportional to 9,758.55, 13,468.92 and 6,171.24 is: 8,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.55 : 13,468.92 = 6,171.24 : x
  2. Step 2: Convert to fraction form
    9,758.55/13,468.92 = 6,171.24/x
  3. Step 3: Cross multiply
    9,758.55x = 13,468.92 × 6,171.24
  4. Step 4: Simplify right side
    9,758.55x = 83,119,937.86
  5. Step 5: Solve for x
    x = 83,119,937.86/9,758.55
  6. Step 6: Final answer
    x = 8,517.65

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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.