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Finding the Fourth Proportional to 11,562.64, 15,956.48 and 6,257.48

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Solution

The fourth proportional to 11,562.64, 15,956.48 and 6,257.48 is: 8,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.64 : 15,956.48 = 6,257.48 : x
  2. Step 2: Convert to fraction form
    11,562.64/15,956.48 = 6,257.48/x
  3. Step 3: Cross multiply
    11,562.64x = 15,956.48 × 6,257.48
  4. Step 4: Simplify right side
    11,562.64x = 99,847,354.47
  5. Step 5: Solve for x
    x = 99,847,354.47/11,562.64
  6. Step 6: Final answer
    x = 8,635.34

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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.