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Finding the Fourth Proportional to 6,441.66, 9,663.12 and 2,058.06

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Solution

The fourth proportional to 6,441.66, 9,663.12 and 2,058.06 is: 3,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.66 : 9,663.12 = 2,058.06 : x
  2. Step 2: Convert to fraction form
    6,441.66/9,663.12 = 2,058.06/x
  3. Step 3: Cross multiply
    6,441.66x = 9,663.12 × 2,058.06
  4. Step 4: Simplify right side
    6,441.66x = 19,887,280.75
  5. Step 5: Solve for x
    x = 19,887,280.75/6,441.66
  6. Step 6: Final answer
    x = 3,087.29

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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.