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Finding the Fourth Proportional to 16,878, 25,317.04 and 4,566

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Solution

The fourth proportional to 16,878, 25,317.04 and 4,566 is: 6,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878 : 25,317.04 = 4,566 : x
  2. Step 2: Convert to fraction form
    16,878/25,317.04 = 4,566/x
  3. Step 3: Cross multiply
    16,878x = 25,317.04 × 4,566
  4. Step 4: Simplify right side
    16,878x = 115,597,604.64
  5. Step 5: Solve for x
    x = 115,597,604.64/16,878
  6. Step 6: Final answer
    x = 6,849.01

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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.