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Finding the Fourth Proportional to 6,690, 9,232.20 and 3,746

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Solution

The fourth proportional to 6,690, 9,232.20 and 3,746 is: 5,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690 : 9,232.20 = 3,746 : x
  2. Step 2: Convert to fraction form
    6,690/9,232.20 = 3,746/x
  3. Step 3: Cross multiply
    6,690x = 9,232.20 × 3,746
  4. Step 4: Simplify right side
    6,690x = 34,583,821.20
  5. Step 5: Solve for x
    x = 34,583,821.20/6,690
  6. Step 6: Final answer
    x = 5,169.48

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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.