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Finding the Fourth Proportional to 6,264.65, 9,388.78 and 2,562.66

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Solution

The fourth proportional to 6,264.65, 9,388.78 and 2,562.66 is: 3,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.65 : 9,388.78 = 2,562.66 : x
  2. Step 2: Convert to fraction form
    6,264.65/9,388.78 = 2,562.66/x
  3. Step 3: Cross multiply
    6,264.65x = 9,388.78 × 2,562.66
  4. Step 4: Simplify right side
    6,264.65x = 24,060,244.55
  5. Step 5: Solve for x
    x = 24,060,244.55/6,264.65
  6. Step 6: Final answer
    x = 3,840.64

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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.