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Finding the Fourth Proportional to 25,843.01, 38,764.67 and 9,203.69

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Solution

The fourth proportional to 25,843.01, 38,764.67 and 9,203.69 is: 13,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.01 : 38,764.67 = 9,203.69 : x
  2. Step 2: Convert to fraction form
    25,843.01/38,764.67 = 9,203.69/x
  3. Step 3: Cross multiply
    25,843.01x = 38,764.67 × 9,203.69
  4. Step 4: Simplify right side
    25,843.01x = 356,777,959.61
  5. Step 5: Solve for x
    x = 356,777,959.61/25,843.01
  6. Step 6: Final answer
    x = 13,805.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.