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Finding the Fourth Proportional to 10,129.97, 13,978.11 and 5,653.97

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Solution

The fourth proportional to 10,129.97, 13,978.11 and 5,653.97 is: 7,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.97 : 13,978.11 = 5,653.97 : x
  2. Step 2: Convert to fraction form
    10,129.97/13,978.11 = 5,653.97/x
  3. Step 3: Cross multiply
    10,129.97x = 13,978.11 × 5,653.97
  4. Step 4: Simplify right side
    10,129.97x = 79,031,786.33
  5. Step 5: Solve for x
    x = 79,031,786.33/10,129.97
  6. Step 6: Final answer
    x = 7,801.78

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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.