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Finding the Fourth Proportional to 6,707.60, 9,254.34 and 3,874.60

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Solution

The fourth proportional to 6,707.60, 9,254.34 and 3,874.60 is: 5,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.60 : 9,254.34 = 3,874.60 : x
  2. Step 2: Convert to fraction form
    6,707.60/9,254.34 = 3,874.60/x
  3. Step 3: Cross multiply
    6,707.60x = 9,254.34 × 3,874.60
  4. Step 4: Simplify right side
    6,707.60x = 35,856,865.76
  5. Step 5: Solve for x
    x = 35,856,865.76/6,707.60
  6. Step 6: Final answer
    x = 5,345.71

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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.