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Finding the Fourth Proportional to 6,552.70, 9,820.64 and 3,220.14

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Solution

The fourth proportional to 6,552.70, 9,820.64 and 3,220.14 is: 4,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.70 : 9,820.64 = 3,220.14 : x
  2. Step 2: Convert to fraction form
    6,552.70/9,820.64 = 3,220.14/x
  3. Step 3: Cross multiply
    6,552.70x = 9,820.64 × 3,220.14
  4. Step 4: Simplify right side
    6,552.70x = 31,623,835.69
  5. Step 5: Solve for x
    x = 31,623,835.69/6,552.70
  6. Step 6: Final answer
    x = 4,826.08

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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.