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Finding the Fourth Proportional to 8,315.40, 12,473.10 and 8,257.80

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Solution

The fourth proportional to 8,315.40, 12,473.10 and 8,257.80 is: 12,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.40 : 12,473.10 = 8,257.80 : x
  2. Step 2: Convert to fraction form
    8,315.40/12,473.10 = 8,257.80/x
  3. Step 3: Cross multiply
    8,315.40x = 12,473.10 × 8,257.80
  4. Step 4: Simplify right side
    8,315.40x = 103,000,365.18
  5. Step 5: Solve for x
    x = 103,000,365.18/8,315.40
  6. Step 6: Final answer
    x = 12,386.70

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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.