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Finding the Fourth Proportional to 6,447.12, 8,896.90 and 3,758.84

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Solution

The fourth proportional to 6,447.12, 8,896.90 and 3,758.84 is: 5,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.12 : 8,896.90 = 3,758.84 : x
  2. Step 2: Convert to fraction form
    6,447.12/8,896.90 = 3,758.84/x
  3. Step 3: Cross multiply
    6,447.12x = 8,896.90 × 3,758.84
  4. Step 4: Simplify right side
    6,447.12x = 33,442,023.60
  5. Step 5: Solve for x
    x = 33,442,023.60/6,447.12
  6. Step 6: Final answer
    x = 5,187.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.