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Finding the Fourth Proportional to 12,633.77, 18,950.81 and 6,058.50

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Solution

The fourth proportional to 12,633.77, 18,950.81 and 6,058.50 is: 9,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.77 : 18,950.81 = 6,058.50 : x
  2. Step 2: Convert to fraction form
    12,633.77/18,950.81 = 6,058.50/x
  3. Step 3: Cross multiply
    12,633.77x = 18,950.81 × 6,058.50
  4. Step 4: Simplify right side
    12,633.77x = 114,813,415.11
  5. Step 5: Solve for x
    x = 114,813,415.11/12,633.77
  6. Step 6: Final answer
    x = 9,087.82

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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.