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Finding the Fourth Proportional to 17,869, 26,815.78 and 6,182.24

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Solution

The fourth proportional to 17,869, 26,815.78 and 6,182.24 is: 9,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869 : 26,815.78 = 6,182.24 : x
  2. Step 2: Convert to fraction form
    17,869/26,815.78 = 6,182.24/x
  3. Step 3: Cross multiply
    17,869x = 26,815.78 × 6,182.24
  4. Step 4: Simplify right side
    17,869x = 165,781,587.75
  5. Step 5: Solve for x
    x = 165,781,587.75/17,869
  6. Step 6: Final answer
    x = 9,277.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.