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Finding the Fourth Proportional to 6,363.80, 9,540 and 3,242.06

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Solution

The fourth proportional to 6,363.80, 9,540 and 3,242.06 is: 4,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.80 : 9,540 = 3,242.06 : x
  2. Step 2: Convert to fraction form
    6,363.80/9,540 = 3,242.06/x
  3. Step 3: Cross multiply
    6,363.80x = 9,540 × 3,242.06
  4. Step 4: Simplify right side
    6,363.80x = 30,929,252.40
  5. Step 5: Solve for x
    x = 30,929,252.40/6,363.80
  6. Step 6: Final answer
    x = 4,860.19

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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.