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Finding the Fourth Proportional to 9,197.51, 12,691.69 and 5,163.42

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Solution

The fourth proportional to 9,197.51, 12,691.69 and 5,163.42 is: 7,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.51 : 12,691.69 = 5,163.42 : x
  2. Step 2: Convert to fraction form
    9,197.51/12,691.69 = 5,163.42/x
  3. Step 3: Cross multiply
    9,197.51x = 12,691.69 × 5,163.42
  4. Step 4: Simplify right side
    9,197.51x = 65,532,525.98
  5. Step 5: Solve for x
    x = 65,532,525.98/9,197.51
  6. Step 6: Final answer
    x = 7,125.03

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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.