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Finding the Fourth Proportional to 19,696.14, 29,544.18 and 5,845.14

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Solution

The fourth proportional to 19,696.14, 29,544.18 and 5,845.14 is: 8,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.14 : 29,544.18 = 5,845.14 : x
  2. Step 2: Convert to fraction form
    19,696.14/29,544.18 = 5,845.14/x
  3. Step 3: Cross multiply
    19,696.14x = 29,544.18 × 5,845.14
  4. Step 4: Simplify right side
    19,696.14x = 172,689,868.29
  5. Step 5: Solve for x
    x = 172,689,868.29/19,696.14
  6. Step 6: Final answer
    x = 8,767.70

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1.5x scale

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.