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Finding the Fourth Proportional to 11,422.44, 15,753.15 and 7,442.10

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Solution

The fourth proportional to 11,422.44, 15,753.15 and 7,442.10 is: 10,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.44 : 15,753.15 = 7,442.10 : x
  2. Step 2: Convert to fraction form
    11,422.44/15,753.15 = 7,442.10/x
  3. Step 3: Cross multiply
    11,422.44x = 15,753.15 × 7,442.10
  4. Step 4: Simplify right side
    11,422.44x = 117,236,517.62
  5. Step 5: Solve for x
    x = 117,236,517.62/11,422.44
  6. Step 6: Final answer
    x = 10,263.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.