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Finding the Fourth Proportional to 6,323.71, 9,486.68 and 2,162.74

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Solution

The fourth proportional to 6,323.71, 9,486.68 and 2,162.74 is: 3,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.71 : 9,486.68 = 2,162.74 : x
  2. Step 2: Convert to fraction form
    6,323.71/9,486.68 = 2,162.74/x
  3. Step 3: Cross multiply
    6,323.71x = 9,486.68 × 2,162.74
  4. Step 4: Simplify right side
    6,323.71x = 20,517,222.30
  5. Step 5: Solve for x
    x = 20,517,222.30/6,323.71
  6. Step 6: Final answer
    x = 3,244.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.