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Finding the Fourth Proportional to 6,167.04, 9,254.66 and 5,756.97

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Solution

The fourth proportional to 6,167.04, 9,254.66 and 5,756.97 is: 8,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.04 : 9,254.66 = 5,756.97 : x
  2. Step 2: Convert to fraction form
    6,167.04/9,254.66 = 5,756.97/x
  3. Step 3: Cross multiply
    6,167.04x = 9,254.66 × 5,756.97
  4. Step 4: Simplify right side
    6,167.04x = 53,278,805.90
  5. Step 5: Solve for x
    x = 53,278,805.90/6,167.04
  6. Step 6: Final answer
    x = 8,639.29

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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.