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Finding the Fourth Proportional to 6,963.57, 10,429.26 and 4,184.11

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Solution

The fourth proportional to 6,963.57, 10,429.26 and 4,184.11 is: 6,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.57 : 10,429.26 = 4,184.11 : x
  2. Step 2: Convert to fraction form
    6,963.57/10,429.26 = 4,184.11/x
  3. Step 3: Cross multiply
    6,963.57x = 10,429.26 × 4,184.11
  4. Step 4: Simplify right side
    6,963.57x = 43,637,218.01
  5. Step 5: Solve for x
    x = 43,637,218.01/6,963.57
  6. Step 6: Final answer
    x = 6,266.50

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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.