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Finding the Fourth Proportional to 7,840.55, 11,760.87 and 1,997.17

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Solution

The fourth proportional to 7,840.55, 11,760.87 and 1,997.17 is: 2,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.55 : 11,760.87 = 1,997.17 : x
  2. Step 2: Convert to fraction form
    7,840.55/11,760.87 = 1,997.17/x
  3. Step 3: Cross multiply
    7,840.55x = 11,760.87 × 1,997.17
  4. Step 4: Simplify right side
    7,840.55x = 23,488,456.74
  5. Step 5: Solve for x
    x = 23,488,456.74/7,840.55
  6. Step 6: Final answer
    x = 2,995.77

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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.