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Finding the Fourth Proportional to 9,149.17, 13,697.61 and 8,567.91

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Solution

The fourth proportional to 9,149.17, 13,697.61 and 8,567.91 is: 12,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.17 : 13,697.61 = 8,567.91 : x
  2. Step 2: Convert to fraction form
    9,149.17/13,697.61 = 8,567.91/x
  3. Step 3: Cross multiply
    9,149.17x = 13,697.61 × 8,567.91
  4. Step 4: Simplify right side
    9,149.17x = 117,359,857.57
  5. Step 5: Solve for x
    x = 117,359,857.57/9,149.17
  6. Step 6: Final answer
    x = 12,827.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.