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Finding the Fourth Proportional to 5,195.78, 7,792.73 and 1,497.10

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Solution

The fourth proportional to 5,195.78, 7,792.73 and 1,497.10 is: 2,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.78 : 7,792.73 = 1,497.10 : x
  2. Step 2: Convert to fraction form
    5,195.78/7,792.73 = 1,497.10/x
  3. Step 3: Cross multiply
    5,195.78x = 7,792.73 × 1,497.10
  4. Step 4: Simplify right side
    5,195.78x = 11,666,493.55
  5. Step 5: Solve for x
    x = 11,666,493.55/5,195.78
  6. Step 6: Final answer
    x = 2,245.38

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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.