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Finding the Fourth Proportional to 6,569, 9,854.98 and 2,189.64

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Solution

The fourth proportional to 6,569, 9,854.98 and 2,189.64 is: 3,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569 : 9,854.98 = 2,189.64 : x
  2. Step 2: Convert to fraction form
    6,569/9,854.98 = 2,189.64/x
  3. Step 3: Cross multiply
    6,569x = 9,854.98 × 2,189.64
  4. Step 4: Simplify right side
    6,569x = 21,578,858.41
  5. Step 5: Solve for x
    x = 21,578,858.41/6,569
  6. Step 6: Final answer
    x = 3,284.95

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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.