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Finding the Fourth Proportional to 6,562.26, 9,847.65 and 3,927.78

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Solution

The fourth proportional to 6,562.26, 9,847.65 and 3,927.78 is: 5,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.26 : 9,847.65 = 3,927.78 : x
  2. Step 2: Convert to fraction form
    6,562.26/9,847.65 = 3,927.78/x
  3. Step 3: Cross multiply
    6,562.26x = 9,847.65 × 3,927.78
  4. Step 4: Simplify right side
    6,562.26x = 38,679,402.72
  5. Step 5: Solve for x
    x = 38,679,402.72/6,562.26
  6. Step 6: Final answer
    x = 5,894.22

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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.