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Finding the Fourth Proportional to 5,960.78, 8,263.56 and 5,644.80

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Solution

The fourth proportional to 5,960.78, 8,263.56 and 5,644.80 is: 7,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.78 : 8,263.56 = 5,644.80 : x
  2. Step 2: Convert to fraction form
    5,960.78/8,263.56 = 5,644.80/x
  3. Step 3: Cross multiply
    5,960.78x = 8,263.56 × 5,644.80
  4. Step 4: Simplify right side
    5,960.78x = 46,646,143.49
  5. Step 5: Solve for x
    x = 46,646,143.49/5,960.78
  6. Step 6: Final answer
    x = 7,825.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.