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Finding the Fourth Proportional to 6,329.73, 9,494.59 and 2,431.40

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Solution

The fourth proportional to 6,329.73, 9,494.59 and 2,431.40 is: 3,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.73 : 9,494.59 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    6,329.73/9,494.59 = 2,431.40/x
  3. Step 3: Cross multiply
    6,329.73x = 9,494.59 × 2,431.40
  4. Step 4: Simplify right side
    6,329.73x = 23,085,146.13
  5. Step 5: Solve for x
    x = 23,085,146.13/6,329.73
  6. Step 6: Final answer
    x = 3,647.10

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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.