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Finding the Fourth Proportional to 14,592.75, 20,138.94 and 8,305.13

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Solution

The fourth proportional to 14,592.75, 20,138.94 and 8,305.13 is: 11,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592.75 : 20,138.94 = 8,305.13 : x
  2. Step 2: Convert to fraction form
    14,592.75/20,138.94 = 8,305.13/x
  3. Step 3: Cross multiply
    14,592.75x = 20,138.94 × 8,305.13
  4. Step 4: Simplify right side
    14,592.75x = 167,256,514.76
  5. Step 5: Solve for x
    x = 167,256,514.76/14,592.75
  6. Step 6: Final answer
    x = 11,461.62

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.