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Finding the Fourth Proportional to 27,968, 38,596.74 and 16,033.58

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Solution

The fourth proportional to 27,968, 38,596.74 and 16,033.58 is: 22,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968 : 38,596.74 = 16,033.58 : x
  2. Step 2: Convert to fraction form
    27,968/38,596.74 = 16,033.58/x
  3. Step 3: Cross multiply
    27,968x = 38,596.74 × 16,033.58
  4. Step 4: Simplify right side
    27,968x = 618,843,918.53
  5. Step 5: Solve for x
    x = 618,843,918.53/27,968
  6. Step 6: Final answer
    x = 22,126.86

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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.