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Finding the Fourth Proportional to 8,200.90, 12,301.35 and 8,152.30

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Solution

The fourth proportional to 8,200.90, 12,301.35 and 8,152.30 is: 12,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.90 : 12,301.35 = 8,152.30 : x
  2. Step 2: Convert to fraction form
    8,200.90/12,301.35 = 8,152.30/x
  3. Step 3: Cross multiply
    8,200.90x = 12,301.35 × 8,152.30
  4. Step 4: Simplify right side
    8,200.90x = 100,284,295.61
  5. Step 5: Solve for x
    x = 100,284,295.61/8,200.90
  6. Step 6: Final answer
    x = 12,228.45

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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.