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Finding the Fourth Proportional to 6,204.97, 8,564.86 and 3,972.86

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Solution

The fourth proportional to 6,204.97, 8,564.86 and 3,972.86 is: 5,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.97 : 8,564.86 = 3,972.86 : x
  2. Step 2: Convert to fraction form
    6,204.97/8,564.86 = 3,972.86/x
  3. Step 3: Cross multiply
    6,204.97x = 8,564.86 × 3,972.86
  4. Step 4: Simplify right side
    6,204.97x = 34,026,961.61
  5. Step 5: Solve for x
    x = 34,026,961.61/6,204.97
  6. Step 6: Final answer
    x = 5,483.82

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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.