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Finding the Fourth Proportional to 8,543.76, 12,816.92 and 2,997.76

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Solution

The fourth proportional to 8,543.76, 12,816.92 and 2,997.76 is: 4,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.76 : 12,816.92 = 2,997.76 : x
  2. Step 2: Convert to fraction form
    8,543.76/12,816.92 = 2,997.76/x
  3. Step 3: Cross multiply
    8,543.76x = 12,816.92 × 2,997.76
  4. Step 4: Simplify right side
    8,543.76x = 38,422,050.10
  5. Step 5: Solve for x
    x = 38,422,050.10/8,543.76
  6. Step 6: Final answer
    x = 4,497.09

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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.