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Finding the Fourth Proportional to 6,689.42, 9,231.24 and 3,705.20

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Solution

The fourth proportional to 6,689.42, 9,231.24 and 3,705.20 is: 5,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.42 : 9,231.24 = 3,705.20 : x
  2. Step 2: Convert to fraction form
    6,689.42/9,231.24 = 3,705.20/x
  3. Step 3: Cross multiply
    6,689.42x = 9,231.24 × 3,705.20
  4. Step 4: Simplify right side
    6,689.42x = 34,203,590.45
  5. Step 5: Solve for x
    x = 34,203,590.45/6,689.42
  6. Step 6: Final answer
    x = 5,113.09

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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.