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Finding the Fourth Proportional to 6,408.61, 9,601.36 and 6,022.62

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Solution

The fourth proportional to 6,408.61, 9,601.36 and 6,022.62 is: 9,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.61 : 9,601.36 = 6,022.62 : x
  2. Step 2: Convert to fraction form
    6,408.61/9,601.36 = 6,022.62/x
  3. Step 3: Cross multiply
    6,408.61x = 9,601.36 × 6,022.62
  4. Step 4: Simplify right side
    6,408.61x = 57,825,327.71
  5. Step 5: Solve for x
    x = 57,825,327.71/6,408.61
  6. Step 6: Final answer
    x = 9,023.07

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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.