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Finding the Fourth Proportional to 6,531.38, 9,015.87 and 4,408.16

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Solution

The fourth proportional to 6,531.38, 9,015.87 and 4,408.16 is: 6,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.38 : 9,015.87 = 4,408.16 : x
  2. Step 2: Convert to fraction form
    6,531.38/9,015.87 = 4,408.16/x
  3. Step 3: Cross multiply
    6,531.38x = 9,015.87 × 4,408.16
  4. Step 4: Simplify right side
    6,531.38x = 39,743,397.50
  5. Step 5: Solve for x
    x = 39,743,397.50/6,531.38
  6. Step 6: Final answer
    x = 6,085.00

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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.