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Finding the Fourth Proportional to 6,494.50, 9,725.82 and 6,329.26

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Solution

The fourth proportional to 6,494.50, 9,725.82 and 6,329.26 is: 9,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.50 : 9,725.82 = 6,329.26 : x
  2. Step 2: Convert to fraction form
    6,494.50/9,725.82 = 6,329.26/x
  3. Step 3: Cross multiply
    6,494.50x = 9,725.82 × 6,329.26
  4. Step 4: Simplify right side
    6,494.50x = 61,557,243.49
  5. Step 5: Solve for x
    x = 61,557,243.49/6,494.50
  6. Step 6: Final answer
    x = 9,478.37

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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.