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Finding the Fourth Proportional to 8,141.50, 12,212.25 and 1,985.50

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Solution

The fourth proportional to 8,141.50, 12,212.25 and 1,985.50 is: 2,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.50 : 12,212.25 = 1,985.50 : x
  2. Step 2: Convert to fraction form
    8,141.50/12,212.25 = 1,985.50/x
  3. Step 3: Cross multiply
    8,141.50x = 12,212.25 × 1,985.50
  4. Step 4: Simplify right side
    8,141.50x = 24,247,422.38
  5. Step 5: Solve for x
    x = 24,247,422.38/8,141.50
  6. Step 6: Final answer
    x = 2,978.25

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Double scale
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Similar ratio
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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.