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Finding the Fourth Proportional to 6,569.64, 9,061.61 and 3,915

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Solution

The fourth proportional to 6,569.64, 9,061.61 and 3,915 is: 5,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.64 : 9,061.61 = 3,915 : x
  2. Step 2: Convert to fraction form
    6,569.64/9,061.61 = 3,915/x
  3. Step 3: Cross multiply
    6,569.64x = 9,061.61 × 3,915
  4. Step 4: Simplify right side
    6,569.64x = 35,476,183.58
  5. Step 5: Solve for x
    x = 35,476,183.58/6,569.64
  6. Step 6: Final answer
    x = 5,400.02

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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.