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Finding the Fourth Proportional to 3,707, 5,115.74 and 2,134.84

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Solution

The fourth proportional to 3,707, 5,115.74 and 2,134.84 is: 2,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707 : 5,115.74 = 2,134.84 : x
  2. Step 2: Convert to fraction form
    3,707/5,115.74 = 2,134.84/x
  3. Step 3: Cross multiply
    3,707x = 5,115.74 × 2,134.84
  4. Step 4: Simplify right side
    3,707x = 10,921,286.38
  5. Step 5: Solve for x
    x = 10,921,286.38/3,707
  6. Step 6: Final answer
    x = 2,946.13

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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.