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Finding the Fourth Proportional to 6,530.71, 9,796.04 and 2,148.17

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Solution

The fourth proportional to 6,530.71, 9,796.04 and 2,148.17 is: 3,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.71 : 9,796.04 = 2,148.17 : x
  2. Step 2: Convert to fraction form
    6,530.71/9,796.04 = 2,148.17/x
  3. Step 3: Cross multiply
    6,530.71x = 9,796.04 × 2,148.17
  4. Step 4: Simplify right side
    6,530.71x = 21,043,499.53
  5. Step 5: Solve for x
    x = 21,043,499.53/6,530.71
  6. Step 6: Final answer
    x = 3,222.24

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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.