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Finding the Fourth Proportional to 6,039, 9,061.74 and 4,581

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Solution

The fourth proportional to 6,039, 9,061.74 and 4,581 is: 6,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039 : 9,061.74 = 4,581 : x
  2. Step 2: Convert to fraction form
    6,039/9,061.74 = 4,581/x
  3. Step 3: Cross multiply
    6,039x = 9,061.74 × 4,581
  4. Step 4: Simplify right side
    6,039x = 41,511,830.94
  5. Step 5: Solve for x
    x = 41,511,830.94/6,039
  6. Step 6: Final answer
    x = 6,873.96

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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.