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Finding the Fourth Proportional to 6,867.38, 9,477 and 3,723.57

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Solution

The fourth proportional to 6,867.38, 9,477 and 3,723.57 is: 5,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.38 : 9,477 = 3,723.57 : x
  2. Step 2: Convert to fraction form
    6,867.38/9,477 = 3,723.57/x
  3. Step 3: Cross multiply
    6,867.38x = 9,477 × 3,723.57
  4. Step 4: Simplify right side
    6,867.38x = 35,288,272.89
  5. Step 5: Solve for x
    x = 35,288,272.89/6,867.38
  6. Step 6: Final answer
    x = 5,138.53

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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.