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Finding the Fourth Proportional to 6,167.75, 8,512.70 and 4,039.47

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Solution

The fourth proportional to 6,167.75, 8,512.70 and 4,039.47 is: 5,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.75 : 8,512.70 = 4,039.47 : x
  2. Step 2: Convert to fraction form
    6,167.75/8,512.70 = 4,039.47/x
  3. Step 3: Cross multiply
    6,167.75x = 8,512.70 × 4,039.47
  4. Step 4: Simplify right side
    6,167.75x = 34,386,776.07
  5. Step 5: Solve for x
    x = 34,386,776.07/6,167.75
  6. Step 6: Final answer
    x = 5,575.26

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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.