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Finding the Fourth Proportional to 6,250.45, 9,370.97 and 3,784.68

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Solution

The fourth proportional to 6,250.45, 9,370.97 and 3,784.68 is: 5,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.45 : 9,370.97 = 3,784.68 : x
  2. Step 2: Convert to fraction form
    6,250.45/9,370.97 = 3,784.68/x
  3. Step 3: Cross multiply
    6,250.45x = 9,370.97 × 3,784.68
  4. Step 4: Simplify right side
    6,250.45x = 35,466,122.74
  5. Step 5: Solve for x
    x = 35,466,122.74/6,250.45
  6. Step 6: Final answer
    x = 5,674.17

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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.