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Finding the Fourth Proportional to 6,351.64, 9,524.88 and 2,190.76

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Solution

The fourth proportional to 6,351.64, 9,524.88 and 2,190.76 is: 3,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.64 : 9,524.88 = 2,190.76 : x
  2. Step 2: Convert to fraction form
    6,351.64/9,524.88 = 2,190.76/x
  3. Step 3: Cross multiply
    6,351.64x = 9,524.88 × 2,190.76
  4. Step 4: Simplify right side
    6,351.64x = 20,866,726.11
  5. Step 5: Solve for x
    x = 20,866,726.11/6,351.64
  6. Step 6: Final answer
    x = 3,285.25

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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.