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Finding the Fourth Proportional to 12,966.72, 17,888.76 and 8,249.28

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Solution

The fourth proportional to 12,966.72, 17,888.76 and 8,249.28 is: 11,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.72 : 17,888.76 = 8,249.28 : x
  2. Step 2: Convert to fraction form
    12,966.72/17,888.76 = 8,249.28/x
  3. Step 3: Cross multiply
    12,966.72x = 17,888.76 × 8,249.28
  4. Step 4: Simplify right side
    12,966.72x = 147,569,390.09
  5. Step 5: Solve for x
    x = 147,569,390.09/12,966.72
  6. Step 6: Final answer
    x = 11,380.63

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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.