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Finding the Fourth Proportional to 10,696.46, 16,038 and 4,114.80

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Solution

The fourth proportional to 10,696.46, 16,038 and 4,114.80 is: 6,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.46 : 16,038 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    10,696.46/16,038 = 4,114.80/x
  3. Step 3: Cross multiply
    10,696.46x = 16,038 × 4,114.80
  4. Step 4: Simplify right side
    10,696.46x = 65,993,162.40
  5. Step 5: Solve for x
    x = 65,993,162.40/10,696.46
  6. Step 6: Final answer
    x = 6,169.63

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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.