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Finding the Fourth Proportional to 6,856.92, 9,462.60 and 4,023.60

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Solution

The fourth proportional to 6,856.92, 9,462.60 and 4,023.60 is: 5,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.92 : 9,462.60 = 4,023.60 : x
  2. Step 2: Convert to fraction form
    6,856.92/9,462.60 = 4,023.60/x
  3. Step 3: Cross multiply
    6,856.92x = 9,462.60 × 4,023.60
  4. Step 4: Simplify right side
    6,856.92x = 38,073,717.36
  5. Step 5: Solve for x
    x = 38,073,717.36/6,856.92
  6. Step 6: Final answer
    x = 5,552.60

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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.