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Finding the Fourth Proportional to 15,752.84, 21,738.66 and 8,679.92

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Solution

The fourth proportional to 15,752.84, 21,738.66 and 8,679.92 is: 11,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.84 : 21,738.66 = 8,679.92 : x
  2. Step 2: Convert to fraction form
    15,752.84/21,738.66 = 8,679.92/x
  3. Step 3: Cross multiply
    15,752.84x = 21,738.66 × 8,679.92
  4. Step 4: Simplify right side
    15,752.84x = 188,689,829.71
  5. Step 5: Solve for x
    x = 188,689,829.71/15,752.84
  6. Step 6: Final answer
    x = 11,978.15

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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.