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Finding the Fourth Proportional to 11,442.56, 15,788 and 6,966.24

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Solution

The fourth proportional to 11,442.56, 15,788 and 6,966.24 is: 9,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.56 : 15,788 = 6,966.24 : x
  2. Step 2: Convert to fraction form
    11,442.56/15,788 = 6,966.24/x
  3. Step 3: Cross multiply
    11,442.56x = 15,788 × 6,966.24
  4. Step 4: Simplify right side
    11,442.56x = 109,982,997.12
  5. Step 5: Solve for x
    x = 109,982,997.12/11,442.56
  6. Step 6: Final answer
    x = 9,611.75

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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.