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Finding the Fourth Proportional to 5,197.97, 7,796.93 and 1,302.38

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Solution

The fourth proportional to 5,197.97, 7,796.93 and 1,302.38 is: 1,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.97 : 7,796.93 = 1,302.38 : x
  2. Step 2: Convert to fraction form
    5,197.97/7,796.93 = 1,302.38/x
  3. Step 3: Cross multiply
    5,197.97x = 7,796.93 × 1,302.38
  4. Step 4: Simplify right side
    5,197.97x = 10,154,520.20
  5. Step 5: Solve for x
    x = 10,154,520.20/5,197.97
  6. Step 6: Final answer
    x = 1,953.56

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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.