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Finding the Fourth Proportional to 6,323.46, 9,486.31 and 2,162.49

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Solution

The fourth proportional to 6,323.46, 9,486.31 and 2,162.49 is: 3,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.46 : 9,486.31 = 2,162.49 : x
  2. Step 2: Convert to fraction form
    6,323.46/9,486.31 = 2,162.49/x
  3. Step 3: Cross multiply
    6,323.46x = 9,486.31 × 2,162.49
  4. Step 4: Simplify right side
    6,323.46x = 20,514,045.11
  5. Step 5: Solve for x
    x = 20,514,045.11/6,323.46
  6. Step 6: Final answer
    x = 3,244.12

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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.