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Finding the Fourth Proportional to 8,423.40, 12,615.90 and 8,231.40

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Solution

The fourth proportional to 8,423.40, 12,615.90 and 8,231.40 is: 12,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.40 : 12,615.90 = 8,231.40 : x
  2. Step 2: Convert to fraction form
    8,423.40/12,615.90 = 8,231.40/x
  3. Step 3: Cross multiply
    8,423.40x = 12,615.90 × 8,231.40
  4. Step 4: Simplify right side
    8,423.40x = 103,846,519.26
  5. Step 5: Solve for x
    x = 103,846,519.26/8,423.40
  6. Step 6: Final answer
    x = 12,328.34

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Half scale
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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.