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Finding the Fourth Proportional to 6,022.53, 9,011.12 and 4,177.22

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Solution

The fourth proportional to 6,022.53, 9,011.12 and 4,177.22 is: 6,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.53 : 9,011.12 = 4,177.22 : x
  2. Step 2: Convert to fraction form
    6,022.53/9,011.12 = 4,177.22/x
  3. Step 3: Cross multiply
    6,022.53x = 9,011.12 × 4,177.22
  4. Step 4: Simplify right side
    6,022.53x = 37,641,364.74
  5. Step 5: Solve for x
    x = 37,641,364.74/6,022.53
  6. Step 6: Final answer
    x = 6,250.09

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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.