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Finding the Fourth Proportional to 15,314.97, 22,981.77 and 6,998.97

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Solution

The fourth proportional to 15,314.97, 22,981.77 and 6,998.97 is: 10,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.97 : 22,981.77 = 6,998.97 : x
  2. Step 2: Convert to fraction form
    15,314.97/22,981.77 = 6,998.97/x
  3. Step 3: Cross multiply
    15,314.97x = 22,981.77 × 6,998.97
  4. Step 4: Simplify right side
    15,314.97x = 160,848,718.78
  5. Step 5: Solve for x
    x = 160,848,718.78/15,314.97
  6. Step 6: Final answer
    x = 10,502.71

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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.