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Finding the Fourth Proportional to 6,565.66, 9,839.98 and 3,437.74

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Solution

The fourth proportional to 6,565.66, 9,839.98 and 3,437.74 is: 5,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.66 : 9,839.98 = 3,437.74 : x
  2. Step 2: Convert to fraction form
    6,565.66/9,839.98 = 3,437.74/x
  3. Step 3: Cross multiply
    6,565.66x = 9,839.98 × 3,437.74
  4. Step 4: Simplify right side
    6,565.66x = 33,827,309.44
  5. Step 5: Solve for x
    x = 33,827,309.44/6,565.66
  6. Step 6: Final answer
    x = 5,152.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.