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Finding the Fourth Proportional to 11,194.74, 15,451.02 and 6,478.38

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Solution

The fourth proportional to 11,194.74, 15,451.02 and 6,478.38 is: 8,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.74 : 15,451.02 = 6,478.38 : x
  2. Step 2: Convert to fraction form
    11,194.74/15,451.02 = 6,478.38/x
  3. Step 3: Cross multiply
    11,194.74x = 15,451.02 × 6,478.38
  4. Step 4: Simplify right side
    11,194.74x = 100,097,578.95
  5. Step 5: Solve for x
    x = 100,097,578.95/11,194.74
  6. Step 6: Final answer
    x = 8,941.48

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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.