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Finding the Fourth Proportional to 27,999, 38,638.62 and 15,424.02

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Solution

The fourth proportional to 27,999, 38,638.62 and 15,424.02 is: 21,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999 : 38,638.62 = 15,424.02 : x
  2. Step 2: Convert to fraction form
    27,999/38,638.62 = 15,424.02/x
  3. Step 3: Cross multiply
    27,999x = 38,638.62 × 15,424.02
  4. Step 4: Simplify right side
    27,999x = 595,962,847.65
  5. Step 5: Solve for x
    x = 595,962,847.65/27,999
  6. Step 6: Final answer
    x = 21,285.15

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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.