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Finding the Fourth Proportional to 10,048.83, 13,872.89 and 6,646

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Solution

The fourth proportional to 10,048.83, 13,872.89 and 6,646 is: 9,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.83 : 13,872.89 = 6,646 : x
  2. Step 2: Convert to fraction form
    10,048.83/13,872.89 = 6,646/x
  3. Step 3: Cross multiply
    10,048.83x = 13,872.89 × 6,646
  4. Step 4: Simplify right side
    10,048.83x = 92,199,226.94
  5. Step 5: Solve for x
    x = 92,199,226.94/10,048.83
  6. Step 6: Final answer
    x = 9,175.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.