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Finding the Fourth Proportional to 6,517.67, 9,000.75 and 5,567.91

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Solution

The fourth proportional to 6,517.67, 9,000.75 and 5,567.91 is: 7,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.67 : 9,000.75 = 5,567.91 : x
  2. Step 2: Convert to fraction form
    6,517.67/9,000.75 = 5,567.91/x
  3. Step 3: Cross multiply
    6,517.67x = 9,000.75 × 5,567.91
  4. Step 4: Simplify right side
    6,517.67x = 50,115,353.06
  5. Step 5: Solve for x
    x = 50,115,353.06/6,517.67
  6. Step 6: Final answer
    x = 7,689.16

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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.