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Finding the Fourth Proportional to 8,232.64, 12,347.39 and 2,228.61

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Solution

The fourth proportional to 8,232.64, 12,347.39 and 2,228.61 is: 3,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.64 : 12,347.39 = 2,228.61 : x
  2. Step 2: Convert to fraction form
    8,232.64/12,347.39 = 2,228.61/x
  3. Step 3: Cross multiply
    8,232.64x = 12,347.39 × 2,228.61
  4. Step 4: Simplify right side
    8,232.64x = 27,517,556.17
  5. Step 5: Solve for x
    x = 27,517,556.17/8,232.64
  6. Step 6: Final answer
    x = 3,342.50

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Half scale
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Double scale
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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.