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Finding the Fourth Proportional to 11,613.62, 16,027.12 and 6,308.76

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Solution

The fourth proportional to 11,613.62, 16,027.12 and 6,308.76 is: 8,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.62 : 16,027.12 = 6,308.76 : x
  2. Step 2: Convert to fraction form
    11,613.62/16,027.12 = 6,308.76/x
  3. Step 3: Cross multiply
    11,613.62x = 16,027.12 × 6,308.76
  4. Step 4: Simplify right side
    11,613.62x = 101,111,253.57
  5. Step 5: Solve for x
    x = 101,111,253.57/11,613.62
  6. Step 6: Final answer
    x = 8,706.27

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Half 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.