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Finding the Fourth Proportional to 6,442.88, 9,665.06 and 2,282

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Solution

The fourth proportional to 6,442.88, 9,665.06 and 2,282 is: 3,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.88 : 9,665.06 = 2,282 : x
  2. Step 2: Convert to fraction form
    6,442.88/9,665.06 = 2,282/x
  3. Step 3: Cross multiply
    6,442.88x = 9,665.06 × 2,282
  4. Step 4: Simplify right side
    6,442.88x = 22,055,666.92
  5. Step 5: Solve for x
    x = 22,055,666.92/6,442.88
  6. Step 6: Final answer
    x = 3,423.26

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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.