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Finding the Fourth Proportional to 8,878.38, 13,316.76 and 8,182.32

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Solution

The fourth proportional to 8,878.38, 13,316.76 and 8,182.32 is: 12,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878.38 : 13,316.76 = 8,182.32 : x
  2. Step 2: Convert to fraction form
    8,878.38/13,316.76 = 8,182.32/x
  3. Step 3: Cross multiply
    8,878.38x = 13,316.76 × 8,182.32
  4. Step 4: Simplify right side
    8,878.38x = 108,961,991.68
  5. Step 5: Solve for x
    x = 108,961,991.68/8,878.38
  6. Step 6: Final answer
    x = 12,272.73

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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.