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Finding the Fourth Proportional to 8,200.17, 11,316.17 and 4,663.38

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Solution

The fourth proportional to 8,200.17, 11,316.17 and 4,663.38 is: 6,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.17 : 11,316.17 = 4,663.38 : x
  2. Step 2: Convert to fraction form
    8,200.17/11,316.17 = 4,663.38/x
  3. Step 3: Cross multiply
    8,200.17x = 11,316.17 × 4,663.38
  4. Step 4: Simplify right side
    8,200.17x = 52,771,600.85
  5. Step 5: Solve for x
    x = 52,771,600.85/8,200.17
  6. Step 6: Final answer
    x = 6,435.43

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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.