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Finding the Fourth Proportional to 6,849.65, 9,452.34 and 3,865.31

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Solution

The fourth proportional to 6,849.65, 9,452.34 and 3,865.31 is: 5,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.65 : 9,452.34 = 3,865.31 : x
  2. Step 2: Convert to fraction form
    6,849.65/9,452.34 = 3,865.31/x
  3. Step 3: Cross multiply
    6,849.65x = 9,452.34 × 3,865.31
  4. Step 4: Simplify right side
    6,849.65x = 36,536,177.06
  5. Step 5: Solve for x
    x = 36,536,177.06/6,849.65
  6. Step 6: Final answer
    x = 5,334.02

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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.