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Finding the Fourth Proportional to 6,494.18, 9,739.44 and 2,597.67

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Solution

The fourth proportional to 6,494.18, 9,739.44 and 2,597.67 is: 3,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.18 : 9,739.44 = 2,597.67 : x
  2. Step 2: Convert to fraction form
    6,494.18/9,739.44 = 2,597.67/x
  3. Step 3: Cross multiply
    6,494.18x = 9,739.44 × 2,597.67
  4. Step 4: Simplify right side
    6,494.18x = 25,299,851.10
  5. Step 5: Solve for x
    x = 25,299,851.10/6,494.18
  6. Step 6: Final answer
    x = 3,895.78

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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.