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Finding the Fourth Proportional to 8,129.68, 11,219.52 and 4,944.22

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Solution

The fourth proportional to 8,129.68, 11,219.52 and 4,944.22 is: 6,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.68 : 11,219.52 = 4,944.22 : x
  2. Step 2: Convert to fraction form
    8,129.68/11,219.52 = 4,944.22/x
  3. Step 3: Cross multiply
    8,129.68x = 11,219.52 × 4,944.22
  4. Step 4: Simplify right side
    8,129.68x = 55,471,775.17
  5. Step 5: Solve for x
    x = 55,471,775.17/8,129.68
  6. Step 6: Final answer
    x = 6,823.37

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Double scale
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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.