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Finding the Fourth Proportional to 6,559.55, 9,830.66 and 2,661.83

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Solution

The fourth proportional to 6,559.55, 9,830.66 and 2,661.83 is: 3,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.55 : 9,830.66 = 2,661.83 : x
  2. Step 2: Convert to fraction form
    6,559.55/9,830.66 = 2,661.83/x
  3. Step 3: Cross multiply
    6,559.55x = 9,830.66 × 2,661.83
  4. Step 4: Simplify right side
    6,559.55x = 26,167,496.55
  5. Step 5: Solve for x
    x = 26,167,496.55/6,559.55
  6. Step 6: Final answer
    x = 3,989.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.