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Finding the Fourth Proportional to 6,166.50, 9,248.85 and 2,270.22

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Solution

The fourth proportional to 6,166.50, 9,248.85 and 2,270.22 is: 3,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.50 : 9,248.85 = 2,270.22 : x
  2. Step 2: Convert to fraction form
    6,166.50/9,248.85 = 2,270.22/x
  3. Step 3: Cross multiply
    6,166.50x = 9,248.85 × 2,270.22
  4. Step 4: Simplify right side
    6,166.50x = 20,996,924.25
  5. Step 5: Solve for x
    x = 20,996,924.25/6,166.50
  6. Step 6: Final answer
    x = 3,405.00

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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.