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Finding the Fourth Proportional to 6,264.10, 9,396.15 and 6,166.90

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Solution

The fourth proportional to 6,264.10, 9,396.15 and 6,166.90 is: 9,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.10 : 9,396.15 = 6,166.90 : x
  2. Step 2: Convert to fraction form
    6,264.10/9,396.15 = 6,166.90/x
  3. Step 3: Cross multiply
    6,264.10x = 9,396.15 × 6,166.90
  4. Step 4: Simplify right side
    6,264.10x = 57,945,117.44
  5. Step 5: Solve for x
    x = 57,945,117.44/6,264.10
  6. Step 6: Final answer
    x = 9,250.35

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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.