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Finding the Fourth Proportional to 6,061.68, 9,094.68 and 2,597.04

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Solution

The fourth proportional to 6,061.68, 9,094.68 and 2,597.04 is: 3,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.68 : 9,094.68 = 2,597.04 : x
  2. Step 2: Convert to fraction form
    6,061.68/9,094.68 = 2,597.04/x
  3. Step 3: Cross multiply
    6,061.68x = 9,094.68 × 2,597.04
  4. Step 4: Simplify right side
    6,061.68x = 23,619,247.75
  5. Step 5: Solve for x
    x = 23,619,247.75/6,061.68
  6. Step 6: Final answer
    x = 3,896.49

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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.