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Finding the Fourth Proportional to 8,153.48, 11,251.86 and 4,427.48

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Solution

The fourth proportional to 8,153.48, 11,251.86 and 4,427.48 is: 6,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.48 : 11,251.86 = 4,427.48 : x
  2. Step 2: Convert to fraction form
    8,153.48/11,251.86 = 4,427.48/x
  3. Step 3: Cross multiply
    8,153.48x = 11,251.86 × 4,427.48
  4. Step 4: Simplify right side
    8,153.48x = 49,817,385.11
  5. Step 5: Solve for x
    x = 49,817,385.11/8,153.48
  6. Step 6: Final answer
    x = 6,109.95

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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.