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Finding the Fourth Proportional to 7,093.92, 9,785.17 and 5,101.32

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Solution

The fourth proportional to 7,093.92, 9,785.17 and 5,101.32 is: 7,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.92 : 9,785.17 = 5,101.32 : x
  2. Step 2: Convert to fraction form
    7,093.92/9,785.17 = 5,101.32/x
  3. Step 3: Cross multiply
    7,093.92x = 9,785.17 × 5,101.32
  4. Step 4: Simplify right side
    7,093.92x = 49,917,221.75
  5. Step 5: Solve for x
    x = 49,917,221.75/7,093.92
  6. Step 6: Final answer
    x = 7,036.63

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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.