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Finding the Fourth Proportional to 8,231.70, 12,347.55 and 7,697.10

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Solution

The fourth proportional to 8,231.70, 12,347.55 and 7,697.10 is: 11,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.70 : 12,347.55 = 7,697.10 : x
  2. Step 2: Convert to fraction form
    8,231.70/12,347.55 = 7,697.10/x
  3. Step 3: Cross multiply
    8,231.70x = 12,347.55 × 7,697.10
  4. Step 4: Simplify right side
    8,231.70x = 95,040,327.11
  5. Step 5: Solve for x
    x = 95,040,327.11/8,231.70
  6. Step 6: Final answer
    x = 11,545.65

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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.