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Finding the Fourth Proportional to 8,248.70, 11,383.00 and 4,471.70

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Solution

The fourth proportional to 8,248.70, 11,383.00 and 4,471.70 is: 6,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.70 : 11,383.00 = 4,471.70 : x
  2. Step 2: Convert to fraction form
    8,248.70/11,383.00 = 4,471.70/x
  3. Step 3: Cross multiply
    8,248.70x = 11,383.00 × 4,471.70
  4. Step 4: Simplify right side
    8,248.70x = 50,901,293.01
  5. Step 5: Solve for x
    x = 50,901,293.01/8,248.70
  6. Step 6: Final answer
    x = 6,170.82

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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.