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Finding the Fourth Proportional to 15,752.48, 21,738.48 and 8,678.84

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Solution

The fourth proportional to 15,752.48, 21,738.48 and 8,678.84 is: 11,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.48 : 21,738.48 = 8,678.84 : x
  2. Step 2: Convert to fraction form
    15,752.48/21,738.48 = 8,678.84/x
  3. Step 3: Cross multiply
    15,752.48x = 21,738.48 × 8,678.84
  4. Step 4: Simplify right side
    15,752.48x = 188,664,789.76
  5. Step 5: Solve for x
    x = 188,664,789.76/15,752.48
  6. Step 6: Final answer
    x = 11,976.83

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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.