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Finding the Fourth Proportional to 6,562.78, 9,846.63 and 3,932.13

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Solution

The fourth proportional to 6,562.78, 9,846.63 and 3,932.13 is: 5,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.78 : 9,846.63 = 3,932.13 : x
  2. Step 2: Convert to fraction form
    6,562.78/9,846.63 = 3,932.13/x
  3. Step 3: Cross multiply
    6,562.78x = 9,846.63 × 3,932.13
  4. Step 4: Simplify right side
    6,562.78x = 38,718,229.22
  5. Step 5: Solve for x
    x = 38,718,229.22/6,562.78
  6. Step 6: Final answer
    x = 5,899.67

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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.