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Finding the Fourth Proportional to 6,530.95, 9,797.84 and 2,148.31

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Solution

The fourth proportional to 6,530.95, 9,797.84 and 2,148.31 is: 3,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.95 : 9,797.84 = 2,148.31 : x
  2. Step 2: Convert to fraction form
    6,530.95/9,797.84 = 2,148.31/x
  3. Step 3: Cross multiply
    6,530.95x = 9,797.84 × 2,148.31
  4. Step 4: Simplify right side
    6,530.95x = 21,048,797.65
  5. Step 5: Solve for x
    x = 21,048,797.65/6,530.95
  6. Step 6: Final answer
    x = 3,222.93

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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.