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Finding the Fourth Proportional to 11,207.40, 15,472.86 and 9,961.80

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Solution

The fourth proportional to 11,207.40, 15,472.86 and 9,961.80 is: 13,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.40 : 15,472.86 = 9,961.80 : x
  2. Step 2: Convert to fraction form
    11,207.40/15,472.86 = 9,961.80/x
  3. Step 3: Cross multiply
    11,207.40x = 15,472.86 × 9,961.80
  4. Step 4: Simplify right side
    11,207.40x = 154,137,536.75
  5. Step 5: Solve for x
    x = 154,137,536.75/11,207.40
  6. Step 6: Final answer
    x = 13,753.19

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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.