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Finding the Fourth Proportional to 6,568.62, 9,061.17 and 4,441.35

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Solution

The fourth proportional to 6,568.62, 9,061.17 and 4,441.35 is: 6,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.62 : 9,061.17 = 4,441.35 : x
  2. Step 2: Convert to fraction form
    6,568.62/9,061.17 = 4,441.35/x
  3. Step 3: Cross multiply
    6,568.62x = 9,061.17 × 4,441.35
  4. Step 4: Simplify right side
    6,568.62x = 40,243,827.38
  5. Step 5: Solve for x
    x = 40,243,827.38/6,568.62
  6. Step 6: Final answer
    x = 6,126.68

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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.