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Finding the Fourth Proportional to 6,363.97, 9,549.74 and 3,442.21

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Solution

The fourth proportional to 6,363.97, 9,549.74 and 3,442.21 is: 5,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.97 : 9,549.74 = 3,442.21 : x
  2. Step 2: Convert to fraction form
    6,363.97/9,549.74 = 3,442.21/x
  3. Step 3: Cross multiply
    6,363.97x = 9,549.74 × 3,442.21
  4. Step 4: Simplify right side
    6,363.97x = 32,872,193.31
  5. Step 5: Solve for x
    x = 32,872,193.31/6,363.97
  6. Step 6: Final answer
    x = 5,165.36

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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.