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Finding the Fourth Proportional to 11,494.68, 15,862.20 and 6,458.88

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Solution

The fourth proportional to 11,494.68, 15,862.20 and 6,458.88 is: 8,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.68 : 15,862.20 = 6,458.88 : x
  2. Step 2: Convert to fraction form
    11,494.68/15,862.20 = 6,458.88/x
  3. Step 3: Cross multiply
    11,494.68x = 15,862.20 × 6,458.88
  4. Step 4: Simplify right side
    11,494.68x = 102,452,046.34
  5. Step 5: Solve for x
    x = 102,452,046.34/11,494.68
  6. Step 6: Final answer
    x = 8,913.00

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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.