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Finding the Fourth Proportional to 7,862.64, 11,773.80 and 6,560.88

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Solution

The fourth proportional to 7,862.64, 11,773.80 and 6,560.88 is: 9,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.64 : 11,773.80 = 6,560.88 : x
  2. Step 2: Convert to fraction form
    7,862.64/11,773.80 = 6,560.88/x
  3. Step 3: Cross multiply
    7,862.64x = 11,773.80 × 6,560.88
  4. Step 4: Simplify right side
    7,862.64x = 77,246,488.94
  5. Step 5: Solve for x
    x = 77,246,488.94/7,862.64
  6. Step 6: Final answer
    x = 9,824.50

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1.5x scale

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.