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Finding the Fourth Proportional to 6,329.98, 9,494.96 and 2,431.65

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Solution

The fourth proportional to 6,329.98, 9,494.96 and 2,431.65 is: 3,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.98 : 9,494.96 = 2,431.65 : x
  2. Step 2: Convert to fraction form
    6,329.98/9,494.96 = 2,431.65/x
  3. Step 3: Cross multiply
    6,329.98x = 9,494.96 × 2,431.65
  4. Step 4: Simplify right side
    6,329.98x = 23,088,419.48
  5. Step 5: Solve for x
    x = 23,088,419.48/6,329.98
  6. Step 6: Final answer
    x = 3,647.47

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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.