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Finding the Fourth Proportional to 6,109.84, 9,163.20 and 2,597.90

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Solution

The fourth proportional to 6,109.84, 9,163.20 and 2,597.90 is: 3,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.84 : 9,163.20 = 2,597.90 : x
  2. Step 2: Convert to fraction form
    6,109.84/9,163.20 = 2,597.90/x
  3. Step 3: Cross multiply
    6,109.84x = 9,163.20 × 2,597.90
  4. Step 4: Simplify right side
    6,109.84x = 23,805,077.28
  5. Step 5: Solve for x
    x = 23,805,077.28/6,109.84
  6. Step 6: Final answer
    x = 3,896.19

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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.