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Finding the Fourth Proportional to 6,447.45, 9,674.22 and 3,525.66

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Solution

The fourth proportional to 6,447.45, 9,674.22 and 3,525.66 is: 5,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.45 : 9,674.22 = 3,525.66 : x
  2. Step 2: Convert to fraction form
    6,447.45/9,674.22 = 3,525.66/x
  3. Step 3: Cross multiply
    6,447.45x = 9,674.22 × 3,525.66
  4. Step 4: Simplify right side
    6,447.45x = 34,108,010.49
  5. Step 5: Solve for x
    x = 34,108,010.49/6,447.45
  6. Step 6: Final answer
    x = 5,290.16

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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.