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Finding the Fourth Proportional to 8,230.30, 12,345.45 and 8,086.30

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Solution

The fourth proportional to 8,230.30, 12,345.45 and 8,086.30 is: 12,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.30 : 12,345.45 = 8,086.30 : x
  2. Step 2: Convert to fraction form
    8,230.30/12,345.45 = 8,086.30/x
  3. Step 3: Cross multiply
    8,230.30x = 12,345.45 × 8,086.30
  4. Step 4: Simplify right side
    8,230.30x = 99,829,012.34
  5. Step 5: Solve for x
    x = 99,829,012.34/8,230.30
  6. Step 6: Final answer
    x = 12,129.45

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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.