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Finding the Fourth Proportional to 5,993.68, 8,271.78 and 3,340.74

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Solution

The fourth proportional to 5,993.68, 8,271.78 and 3,340.74 is: 4,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.68 : 8,271.78 = 3,340.74 : x
  2. Step 2: Convert to fraction form
    5,993.68/8,271.78 = 3,340.74/x
  3. Step 3: Cross multiply
    5,993.68x = 8,271.78 × 3,340.74
  4. Step 4: Simplify right side
    5,993.68x = 27,633,866.32
  5. Step 5: Solve for x
    x = 27,633,866.32/5,993.68
  6. Step 6: Final answer
    x = 4,610.50

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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.