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Finding the Fourth Proportional to 6,583.94, 9,862.89 and 3,459.27

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Solution

The fourth proportional to 6,583.94, 9,862.89 and 3,459.27 is: 5,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.94 : 9,862.89 = 3,459.27 : x
  2. Step 2: Convert to fraction form
    6,583.94/9,862.89 = 3,459.27/x
  3. Step 3: Cross multiply
    6,583.94x = 9,862.89 × 3,459.27
  4. Step 4: Simplify right side
    6,583.94x = 34,118,399.49
  5. Step 5: Solve for x
    x = 34,118,399.49/6,583.94
  6. Step 6: Final answer
    x = 5,182.07

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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.