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Finding the Fourth Proportional to 6,701.92, 9,248.51 and 3,717.69

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Solution

The fourth proportional to 6,701.92, 9,248.51 and 3,717.69 is: 5,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.92 : 9,248.51 = 3,717.69 : x
  2. Step 2: Convert to fraction form
    6,701.92/9,248.51 = 3,717.69/x
  3. Step 3: Cross multiply
    6,701.92x = 9,248.51 × 3,717.69
  4. Step 4: Simplify right side
    6,701.92x = 34,383,093.14
  5. Step 5: Solve for x
    x = 34,383,093.14/6,701.92
  6. Step 6: Final answer
    x = 5,130.33

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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.