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Finding the Fourth Proportional to 6,689.90, 9,232.12 and 3,705.78

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Solution

The fourth proportional to 6,689.90, 9,232.12 and 3,705.78 is: 5,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.90 : 9,232.12 = 3,705.78 : x
  2. Step 2: Convert to fraction form
    6,689.90/9,232.12 = 3,705.78/x
  3. Step 3: Cross multiply
    6,689.90x = 9,232.12 × 3,705.78
  4. Step 4: Simplify right side
    6,689.90x = 34,212,205.65
  5. Step 5: Solve for x
    x = 34,212,205.65/6,689.90
  6. Step 6: Final answer
    x = 5,114.01

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1.5x scale

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.