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Finding the Fourth Proportional to 15,752.04, 21,738.80 and 8,678.46

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Solution

The fourth proportional to 15,752.04, 21,738.80 and 8,678.46 is: 11,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.04 : 21,738.80 = 8,678.46 : x
  2. Step 2: Convert to fraction form
    15,752.04/21,738.80 = 8,678.46/x
  3. Step 3: Cross multiply
    15,752.04x = 21,738.80 × 8,678.46
  4. Step 4: Simplify right side
    15,752.04x = 188,659,306.25
  5. Step 5: Solve for x
    x = 188,659,306.25/15,752.04
  6. Step 6: Final answer
    x = 11,976.82

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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.