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Finding the Fourth Proportional to 6,977.84, 10,468.22 and 2,047.07

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Solution

The fourth proportional to 6,977.84, 10,468.22 and 2,047.07 is: 3,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.84 : 10,468.22 = 2,047.07 : x
  2. Step 2: Convert to fraction form
    6,977.84/10,468.22 = 2,047.07/x
  3. Step 3: Cross multiply
    6,977.84x = 10,468.22 × 2,047.07
  4. Step 4: Simplify right side
    6,977.84x = 21,429,195.05
  5. Step 5: Solve for x
    x = 21,429,195.05/6,977.84
  6. Step 6: Final answer
    x = 3,071.04

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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.