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Finding the Fourth Proportional to 5,993.48, 8,266.92 and 5,497.76

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Solution

The fourth proportional to 5,993.48, 8,266.92 and 5,497.76 is: 7,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.48 : 8,266.92 = 5,497.76 : x
  2. Step 2: Convert to fraction form
    5,993.48/8,266.92 = 5,497.76/x
  3. Step 3: Cross multiply
    5,993.48x = 8,266.92 × 5,497.76
  4. Step 4: Simplify right side
    5,993.48x = 45,449,542.10
  5. Step 5: Solve for x
    x = 45,449,542.10/5,993.48
  6. Step 6: Final answer
    x = 7,583.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.