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Finding the Fourth Proportional to 6,749.27, 9,312.49 and 3,917.12

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Solution

The fourth proportional to 6,749.27, 9,312.49 and 3,917.12 is: 5,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.27 : 9,312.49 = 3,917.12 : x
  2. Step 2: Convert to fraction form
    6,749.27/9,312.49 = 3,917.12/x
  3. Step 3: Cross multiply
    6,749.27x = 9,312.49 × 3,917.12
  4. Step 4: Simplify right side
    6,749.27x = 36,478,140.83
  5. Step 5: Solve for x
    x = 36,478,140.83/6,749.27
  6. Step 6: Final answer
    x = 5,404.75

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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.