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Finding the Fourth Proportional to 6,314.36, 9,471.54 and 4,001

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Solution

The fourth proportional to 6,314.36, 9,471.54 and 4,001 is: 6,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.36 : 9,471.54 = 4,001 : x
  2. Step 2: Convert to fraction form
    6,314.36/9,471.54 = 4,001/x
  3. Step 3: Cross multiply
    6,314.36x = 9,471.54 × 4,001
  4. Step 4: Simplify right side
    6,314.36x = 37,895,631.54
  5. Step 5: Solve for x
    x = 37,895,631.54/6,314.36
  6. Step 6: Final answer
    x = 6,001.50

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Double scale
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Similar ratio
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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.