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Finding the Fourth Proportional to 10,684, 16,024.02 and 2,891.80

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Solution

The fourth proportional to 10,684, 16,024.02 and 2,891.80 is: 4,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684 : 16,024.02 = 2,891.80 : x
  2. Step 2: Convert to fraction form
    10,684/16,024.02 = 2,891.80/x
  3. Step 3: Cross multiply
    10,684x = 16,024.02 × 2,891.80
  4. Step 4: Simplify right side
    10,684x = 46,338,261.04
  5. Step 5: Solve for x
    x = 46,338,261.04/10,684
  6. Step 6: Final answer
    x = 4,337.16

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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.