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Finding the Fourth Proportional to 8,153, 11,251.71 and 4,616.23

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Solution

The fourth proportional to 8,153, 11,251.71 and 4,616.23 is: 6,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153 : 11,251.71 = 4,616.23 : x
  2. Step 2: Convert to fraction form
    8,153/11,251.71 = 4,616.23/x
  3. Step 3: Cross multiply
    8,153x = 11,251.71 × 4,616.23
  4. Step 4: Simplify right side
    8,153x = 51,940,481.25
  5. Step 5: Solve for x
    x = 51,940,481.25/8,153
  6. Step 6: Final answer
    x = 6,370.72

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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.