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Finding the Fourth Proportional to 11,494.55, 15,862.88 and 6,458.66

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Solution

The fourth proportional to 11,494.55, 15,862.88 and 6,458.66 is: 8,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.55 : 15,862.88 = 6,458.66 : x
  2. Step 2: Convert to fraction form
    11,494.55/15,862.88 = 6,458.66/x
  3. Step 3: Cross multiply
    11,494.55x = 15,862.88 × 6,458.66
  4. Step 4: Simplify right side
    11,494.55x = 102,452,836.93
  5. Step 5: Solve for x
    x = 102,452,836.93/11,494.55
  6. Step 6: Final answer
    x = 8,913.17

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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.