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Finding the Fourth Proportional to 8,102.57, 12,153.87 and 2,259.23

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Solution

The fourth proportional to 8,102.57, 12,153.87 and 2,259.23 is: 3,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.57 : 12,153.87 = 2,259.23 : x
  2. Step 2: Convert to fraction form
    8,102.57/12,153.87 = 2,259.23/x
  3. Step 3: Cross multiply
    8,102.57x = 12,153.87 × 2,259.23
  4. Step 4: Simplify right side
    8,102.57x = 27,458,326.95
  5. Step 5: Solve for x
    x = 27,458,326.95/8,102.57
  6. Step 6: Final answer
    x = 3,388.84

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Half scale
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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.