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Finding the Fourth Proportional to 8,113.50, 12,170.25 and 1,957.50

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Solution

The fourth proportional to 8,113.50, 12,170.25 and 1,957.50 is: 2,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 12,170.25 = 1,957.50 : x
  2. Step 2: Convert to fraction form
    8,113.50/12,170.25 = 1,957.50/x
  3. Step 3: Cross multiply
    8,113.50x = 12,170.25 × 1,957.50
  4. Step 4: Simplify right side
    8,113.50x = 23,823,264.38
  5. Step 5: Solve for x
    x = 23,823,264.38/8,113.50
  6. Step 6: Final answer
    x = 2,936.25

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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.