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Finding the Fourth Proportional to 9,957.13, 13,743.05 and 7,799.38

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Solution

The fourth proportional to 9,957.13, 13,743.05 and 7,799.38 is: 10,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.13 : 13,743.05 = 7,799.38 : x
  2. Step 2: Convert to fraction form
    9,957.13/13,743.05 = 7,799.38/x
  3. Step 3: Cross multiply
    9,957.13x = 13,743.05 × 7,799.38
  4. Step 4: Simplify right side
    9,957.13x = 107,187,195.95
  5. Step 5: Solve for x
    x = 107,187,195.95/9,957.13
  6. Step 6: Final answer
    x = 10,764.87

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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.