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Finding the Fourth Proportional to 6,966.49, 10,442.39 and 2,285.28

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Solution

The fourth proportional to 6,966.49, 10,442.39 and 2,285.28 is: 3,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.49 : 10,442.39 = 2,285.28 : x
  2. Step 2: Convert to fraction form
    6,966.49/10,442.39 = 2,285.28/x
  3. Step 3: Cross multiply
    6,966.49x = 10,442.39 × 2,285.28
  4. Step 4: Simplify right side
    6,966.49x = 23,863,721.38
  5. Step 5: Solve for x
    x = 23,863,721.38/6,966.49
  6. Step 6: Final answer
    x = 3,425.50

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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.