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Finding the Fourth Proportional to 6,777.84, 10,167.70 and 2,098.22

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Solution

The fourth proportional to 6,777.84, 10,167.70 and 2,098.22 is: 3,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.84 : 10,167.70 = 2,098.22 : x
  2. Step 2: Convert to fraction form
    6,777.84/10,167.70 = 2,098.22/x
  3. Step 3: Cross multiply
    6,777.84x = 10,167.70 × 2,098.22
  4. Step 4: Simplify right side
    6,777.84x = 21,334,071.49
  5. Step 5: Solve for x
    x = 21,334,071.49/6,777.84
  6. Step 6: Final answer
    x = 3,147.62

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1.5x scale

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.