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Finding the Fourth Proportional to 12,948.60, 17,863.47 and 8,164.78

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Solution

The fourth proportional to 12,948.60, 17,863.47 and 8,164.78 is: 11,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.60 : 17,863.47 = 8,164.78 : x
  2. Step 2: Convert to fraction form
    12,948.60/17,863.47 = 8,164.78/x
  3. Step 3: Cross multiply
    12,948.60x = 17,863.47 × 8,164.78
  4. Step 4: Simplify right side
    12,948.60x = 145,851,257.93
  5. Step 5: Solve for x
    x = 145,851,257.93/12,948.60
  6. Step 6: Final answer
    x = 11,263.86

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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.