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Finding the Fourth Proportional to 6,415.74, 9,617.94 and 6,028.56

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Solution

The fourth proportional to 6,415.74, 9,617.94 and 6,028.56 is: 9,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.74 : 9,617.94 = 6,028.56 : x
  2. Step 2: Convert to fraction form
    6,415.74/9,617.94 = 6,028.56/x
  3. Step 3: Cross multiply
    6,415.74x = 9,617.94 × 6,028.56
  4. Step 4: Simplify right side
    6,415.74x = 57,982,328.37
  5. Step 5: Solve for x
    x = 57,982,328.37/6,415.74
  6. Step 6: Final answer
    x = 9,037.51

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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.