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Finding the Fourth Proportional to 12,231, 16,881.92 and 7,454.18

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Solution

The fourth proportional to 12,231, 16,881.92 and 7,454.18 is: 10,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231 : 16,881.92 = 7,454.18 : x
  2. Step 2: Convert to fraction form
    12,231/16,881.92 = 7,454.18/x
  3. Step 3: Cross multiply
    12,231x = 16,881.92 × 7,454.18
  4. Step 4: Simplify right side
    12,231x = 125,840,808.35
  5. Step 5: Solve for x
    x = 125,840,808.35/12,231
  6. Step 6: Final answer
    x = 10,288.68

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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.