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Finding the Fourth Proportional to 6,304.06, 9,456.10 and 2,144.10

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Solution

The fourth proportional to 6,304.06, 9,456.10 and 2,144.10 is: 3,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.06 : 9,456.10 = 2,144.10 : x
  2. Step 2: Convert to fraction form
    6,304.06/9,456.10 = 2,144.10/x
  3. Step 3: Cross multiply
    6,304.06x = 9,456.10 × 2,144.10
  4. Step 4: Simplify right side
    6,304.06x = 20,274,824.01
  5. Step 5: Solve for x
    x = 20,274,824.01/6,304.06
  6. Step 6: Final answer
    x = 3,216.15

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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.