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Finding the Fourth Proportional to 6,065.44, 9,097.66 and 1,683

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Solution

The fourth proportional to 6,065.44, 9,097.66 and 1,683 is: 2,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.44 : 9,097.66 = 1,683 : x
  2. Step 2: Convert to fraction form
    6,065.44/9,097.66 = 1,683/x
  3. Step 3: Cross multiply
    6,065.44x = 9,097.66 × 1,683
  4. Step 4: Simplify right side
    6,065.44x = 15,311,361.78
  5. Step 5: Solve for x
    x = 15,311,361.78/6,065.44
  6. Step 6: Final answer
    x = 2,524.36

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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.