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Finding the Fourth Proportional to 22,878, 34,322.76 and 6,462

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Solution

The fourth proportional to 22,878, 34,322.76 and 6,462 is: 9,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878 : 34,322.76 = 6,462 : x
  2. Step 2: Convert to fraction form
    22,878/34,322.76 = 6,462/x
  3. Step 3: Cross multiply
    22,878x = 34,322.76 × 6,462
  4. Step 4: Simplify right side
    22,878x = 221,793,675.12
  5. Step 5: Solve for x
    x = 221,793,675.12/22,878
  6. Step 6: Final answer
    x = 9,694.63

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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.