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Finding the Fourth Proportional to 6,304.70, 9,456.65 and 2,144.70

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Solution

The fourth proportional to 6,304.70, 9,456.65 and 2,144.70 is: 3,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.70 : 9,456.65 = 2,144.70 : x
  2. Step 2: Convert to fraction form
    6,304.70/9,456.65 = 2,144.70/x
  3. Step 3: Cross multiply
    6,304.70x = 9,456.65 × 2,144.70
  4. Step 4: Simplify right side
    6,304.70x = 20,281,677.26
  5. Step 5: Solve for x
    x = 20,281,677.26/6,304.70
  6. Step 6: Final answer
    x = 3,216.91

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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.