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Finding the Fourth Proportional to 6,393.76, 9,589.57 and 2,010.20

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Solution

The fourth proportional to 6,393.76, 9,589.57 and 2,010.20 is: 3,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.76 : 9,589.57 = 2,010.20 : x
  2. Step 2: Convert to fraction form
    6,393.76/9,589.57 = 2,010.20/x
  3. Step 3: Cross multiply
    6,393.76x = 9,589.57 × 2,010.20
  4. Step 4: Simplify right side
    6,393.76x = 19,276,900.64
  5. Step 5: Solve for x
    x = 19,276,900.64/6,393.76
  6. Step 6: Final answer
    x = 3,014.96

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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.