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Finding the Fourth Proportional to 6,363.76, 9,543.78 and 2,467.24

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Solution

The fourth proportional to 6,363.76, 9,543.78 and 2,467.24 is: 3,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.76 : 9,543.78 = 2,467.24 : x
  2. Step 2: Convert to fraction form
    6,363.76/9,543.78 = 2,467.24/x
  3. Step 3: Cross multiply
    6,363.76x = 9,543.78 × 2,467.24
  4. Step 4: Simplify right side
    6,363.76x = 23,546,795.77
  5. Step 5: Solve for x
    x = 23,546,795.77/6,363.76
  6. Step 6: Final answer
    x = 3,700.14

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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.