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Finding the Fourth Proportional to 6,530.61, 9,796.14 and 2,148.41

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Solution

The fourth proportional to 6,530.61, 9,796.14 and 2,148.41 is: 3,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.61 : 9,796.14 = 2,148.41 : x
  2. Step 2: Convert to fraction form
    6,530.61/9,796.14 = 2,148.41/x
  3. Step 3: Cross multiply
    6,530.61x = 9,796.14 × 2,148.41
  4. Step 4: Simplify right side
    6,530.61x = 21,046,125.14
  5. Step 5: Solve for x
    x = 21,046,125.14/6,530.61
  6. Step 6: Final answer
    x = 3,222.69

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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.