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Finding the Fourth Proportional to 13,630.76, 18,812.16 and 8,324.44

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Solution

The fourth proportional to 13,630.76, 18,812.16 and 8,324.44 is: 11,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.76 : 18,812.16 = 8,324.44 : x
  2. Step 2: Convert to fraction form
    13,630.76/18,812.16 = 8,324.44/x
  3. Step 3: Cross multiply
    13,630.76x = 18,812.16 × 8,324.44
  4. Step 4: Simplify right side
    13,630.76x = 156,600,697.19
  5. Step 5: Solve for x
    x = 156,600,697.19/13,630.76
  6. Step 6: Final answer
    x = 11,488.77

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.