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Finding the Fourth Proportional to 6,731.63, 10,098.02 and 2,051.22

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Solution

The fourth proportional to 6,731.63, 10,098.02 and 2,051.22 is: 3,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.63 : 10,098.02 = 2,051.22 : x
  2. Step 2: Convert to fraction form
    6,731.63/10,098.02 = 2,051.22/x
  3. Step 3: Cross multiply
    6,731.63x = 10,098.02 × 2,051.22
  4. Step 4: Simplify right side
    6,731.63x = 20,713,292.04
  5. Step 5: Solve for x
    x = 20,713,292.04/6,731.63
  6. Step 6: Final answer
    x = 3,077.01

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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.