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Finding the Fourth Proportional to 11,841.14, 16,340.13 and 7,364.76

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Solution

The fourth proportional to 11,841.14, 16,340.13 and 7,364.76 is: 10,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.14 : 16,340.13 = 7,364.76 : x
  2. Step 2: Convert to fraction form
    11,841.14/16,340.13 = 7,364.76/x
  3. Step 3: Cross multiply
    11,841.14x = 16,340.13 × 7,364.76
  4. Step 4: Simplify right side
    11,841.14x = 120,341,135.82
  5. Step 5: Solve for x
    x = 120,341,135.82/11,841.14
  6. Step 6: Final answer
    x = 10,162.97

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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.