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Finding the Fourth Proportional to 12,800.97, 17,663.19 and 7,134.48

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Solution

The fourth proportional to 12,800.97, 17,663.19 and 7,134.48 is: 9,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.97 : 17,663.19 = 7,134.48 : x
  2. Step 2: Convert to fraction form
    12,800.97/17,663.19 = 7,134.48/x
  3. Step 3: Cross multiply
    12,800.97x = 17,663.19 × 7,134.48
  4. Step 4: Simplify right side
    12,800.97x = 126,017,675.79
  5. Step 5: Solve for x
    x = 126,017,675.79/12,800.97
  6. Step 6: Final answer
    x = 9,844.38

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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.