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Finding the Fourth Proportional to 9,197.98, 13,801.96 and 7,122.04

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Solution

The fourth proportional to 9,197.98, 13,801.96 and 7,122.04 is: 10,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.98 : 13,801.96 = 7,122.04 : x
  2. Step 2: Convert to fraction form
    9,197.98/13,801.96 = 7,122.04/x
  3. Step 3: Cross multiply
    9,197.98x = 13,801.96 × 7,122.04
  4. Step 4: Simplify right side
    9,197.98x = 98,298,163.23
  5. Step 5: Solve for x
    x = 98,298,163.23/9,197.98
  6. Step 6: Final answer
    x = 10,686.93

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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.