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Finding the Fourth Proportional to 6,524.31, 9,002.03 and 4,167.21

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Solution

The fourth proportional to 6,524.31, 9,002.03 and 4,167.21 is: 5,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.31 : 9,002.03 = 4,167.21 : x
  2. Step 2: Convert to fraction form
    6,524.31/9,002.03 = 4,167.21/x
  3. Step 3: Cross multiply
    6,524.31x = 9,002.03 × 4,167.21
  4. Step 4: Simplify right side
    6,524.31x = 37,513,328.60
  5. Step 5: Solve for x
    x = 37,513,328.60/6,524.31
  6. Step 6: Final answer
    x = 5,749.78

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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.