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Finding the Fourth Proportional to 9,713, 13,408.98 and 6,542.96

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Solution

The fourth proportional to 9,713, 13,408.98 and 6,542.96 is: 9,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713 : 13,408.98 = 6,542.96 : x
  2. Step 2: Convert to fraction form
    9,713/13,408.98 = 6,542.96/x
  3. Step 3: Cross multiply
    9,713x = 13,408.98 × 6,542.96
  4. Step 4: Simplify right side
    9,713x = 87,734,419.78
  5. Step 5: Solve for x
    x = 87,734,419.78/9,713
  6. Step 6: Final answer
    x = 9,032.68

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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.