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Finding the Fourth Proportional to 15,751.92, 21,737.52 and 8,678.10

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Solution

The fourth proportional to 15,751.92, 21,737.52 and 8,678.10 is: 11,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.92 : 21,737.52 = 8,678.10 : x
  2. Step 2: Convert to fraction form
    15,751.92/21,737.52 = 8,678.10/x
  3. Step 3: Cross multiply
    15,751.92x = 21,737.52 × 8,678.10
  4. Step 4: Simplify right side
    15,751.92x = 188,640,372.31
  5. Step 5: Solve for x
    x = 188,640,372.31/15,751.92
  6. Step 6: Final answer
    x = 11,975.71

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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.