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Finding the Fourth Proportional to 14,463.68, 21,696.36 and 5,696.24

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Solution

The fourth proportional to 14,463.68, 21,696.36 and 5,696.24 is: 8,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.68 : 21,696.36 = 5,696.24 : x
  2. Step 2: Convert to fraction form
    14,463.68/21,696.36 = 5,696.24/x
  3. Step 3: Cross multiply
    14,463.68x = 21,696.36 × 5,696.24
  4. Step 4: Simplify right side
    14,463.68x = 123,587,673.69
  5. Step 5: Solve for x
    x = 123,587,673.69/14,463.68
  6. Step 6: Final answer
    x = 8,544.69

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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.