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Finding the Fourth Proportional to 11,629.71, 16,048.98 and 6,324.53

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Solution

The fourth proportional to 11,629.71, 16,048.98 and 6,324.53 is: 8,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.71 : 16,048.98 = 6,324.53 : x
  2. Step 2: Convert to fraction form
    11,629.71/16,048.98 = 6,324.53/x
  3. Step 3: Cross multiply
    11,629.71x = 16,048.98 × 6,324.53
  4. Step 4: Simplify right side
    11,629.71x = 101,502,175.23
  5. Step 5: Solve for x
    x = 101,502,175.23/11,629.71
  6. Step 6: Final answer
    x = 8,727.83

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1.5x scale

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.