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Finding the Fourth Proportional to 8,231.40, 12,347.10 and 5,461.80

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Solution

The fourth proportional to 8,231.40, 12,347.10 and 5,461.80 is: 8,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.40 : 12,347.10 = 5,461.80 : x
  2. Step 2: Convert to fraction form
    8,231.40/12,347.10 = 5,461.80/x
  3. Step 3: Cross multiply
    8,231.40x = 12,347.10 × 5,461.80
  4. Step 4: Simplify right side
    8,231.40x = 67,437,390.78
  5. Step 5: Solve for x
    x = 67,437,390.78/8,231.40
  6. Step 6: Final answer
    x = 8,192.70

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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.