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Finding the Fourth Proportional to 6,442.76, 9,664.19 and 2,282.79

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Solution

The fourth proportional to 6,442.76, 9,664.19 and 2,282.79 is: 3,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.76 : 9,664.19 = 2,282.79 : x
  2. Step 2: Convert to fraction form
    6,442.76/9,664.19 = 2,282.79/x
  3. Step 3: Cross multiply
    6,442.76x = 9,664.19 × 2,282.79
  4. Step 4: Simplify right side
    6,442.76x = 22,061,316.29
  5. Step 5: Solve for x
    x = 22,061,316.29/6,442.76
  6. Step 6: Final answer
    x = 3,424.20

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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.