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Finding the Fourth Proportional to 15,122.25, 20,868.71 and 8,498.25

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Solution

The fourth proportional to 15,122.25, 20,868.71 and 8,498.25 is: 11,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.25 : 20,868.71 = 8,498.25 : x
  2. Step 2: Convert to fraction form
    15,122.25/20,868.71 = 8,498.25/x
  3. Step 3: Cross multiply
    15,122.25x = 20,868.71 × 8,498.25
  4. Step 4: Simplify right side
    15,122.25x = 177,347,514.76
  5. Step 5: Solve for x
    x = 177,347,514.76/15,122.25
  6. Step 6: Final answer
    x = 11,727.59

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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.