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Finding the Fourth Proportional to 6,507.60, 9,767.88 and 3,587.28

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Solution

The fourth proportional to 6,507.60, 9,767.88 and 3,587.28 is: 5,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.60 : 9,767.88 = 3,587.28 : x
  2. Step 2: Convert to fraction form
    6,507.60/9,767.88 = 3,587.28/x
  3. Step 3: Cross multiply
    6,507.60x = 9,767.88 × 3,587.28
  4. Step 4: Simplify right side
    6,507.60x = 35,040,120.57
  5. Step 5: Solve for x
    x = 35,040,120.57/6,507.60
  6. Step 6: Final answer
    x = 5,384.49

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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.