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Finding the Fourth Proportional to 6,687.42, 9,226.28 and 4,167.48

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Solution

The fourth proportional to 6,687.42, 9,226.28 and 4,167.48 is: 5,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.42 : 9,226.28 = 4,167.48 : x
  2. Step 2: Convert to fraction form
    6,687.42/9,226.28 = 4,167.48/x
  3. Step 3: Cross multiply
    6,687.42x = 9,226.28 × 4,167.48
  4. Step 4: Simplify right side
    6,687.42x = 38,450,337.37
  5. Step 5: Solve for x
    x = 38,450,337.37/6,687.42
  6. Step 6: Final answer
    x = 5,749.65

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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.