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Finding the Fourth Proportional to 4,642.63, 6,963.63 and 2,178

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Solution

The fourth proportional to 4,642.63, 6,963.63 and 2,178 is: 3,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.63 : 6,963.63 = 2,178 : x
  2. Step 2: Convert to fraction form
    4,642.63/6,963.63 = 2,178/x
  3. Step 3: Cross multiply
    4,642.63x = 6,963.63 × 2,178
  4. Step 4: Simplify right side
    4,642.63x = 15,166,786.14
  5. Step 5: Solve for x
    x = 15,166,786.14/4,642.63
  6. Step 6: Final answer
    x = 3,266.85

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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.