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Finding the Fourth Proportional to 13,103.76, 18,083.58 and 7,514.76

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Solution

The fourth proportional to 13,103.76, 18,083.58 and 7,514.76 is: 10,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.76 : 18,083.58 = 7,514.76 : x
  2. Step 2: Convert to fraction form
    13,103.76/18,083.58 = 7,514.76/x
  3. Step 3: Cross multiply
    13,103.76x = 18,083.58 × 7,514.76
  4. Step 4: Simplify right side
    13,103.76x = 135,893,763.64
  5. Step 5: Solve for x
    x = 135,893,763.64/13,103.76
  6. Step 6: Final answer
    x = 10,370.59

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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.