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Finding the Fourth Proportional to 9,658.55, 13,325.67 and 5,408.97

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Solution

The fourth proportional to 9,658.55, 13,325.67 and 5,408.97 is: 7,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.55 : 13,325.67 = 5,408.97 : x
  2. Step 2: Convert to fraction form
    9,658.55/13,325.67 = 5,408.97/x
  3. Step 3: Cross multiply
    9,658.55x = 13,325.67 × 5,408.97
  4. Step 4: Simplify right side
    9,658.55x = 72,078,149.26
  5. Step 5: Solve for x
    x = 72,078,149.26/9,658.55
  6. Step 6: Final answer
    x = 7,462.63

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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.