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Finding the Fourth Proportional to 9,713.16, 13,408.50 and 7,474.20

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Solution

The fourth proportional to 9,713.16, 13,408.50 and 7,474.20 is: 10,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.16 : 13,408.50 = 7,474.20 : x
  2. Step 2: Convert to fraction form
    9,713.16/13,408.50 = 7,474.20/x
  3. Step 3: Cross multiply
    9,713.16x = 13,408.50 × 7,474.20
  4. Step 4: Simplify right side
    9,713.16x = 100,217,810.70
  5. Step 5: Solve for x
    x = 100,217,810.70/9,713.16
  6. Step 6: Final answer
    x = 10,317.73

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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.