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Finding the Fourth Proportional to 27,523, 37,980.24 and 15,586.48

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Solution

The fourth proportional to 27,523, 37,980.24 and 15,586.48 is: 21,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523 : 37,980.24 = 15,586.48 : x
  2. Step 2: Convert to fraction form
    27,523/37,980.24 = 15,586.48/x
  3. Step 3: Cross multiply
    27,523x = 37,980.24 × 15,586.48
  4. Step 4: Simplify right side
    27,523x = 591,978,251.16
  5. Step 5: Solve for x
    x = 591,978,251.16/27,523
  6. Step 6: Final answer
    x = 21,508.49

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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.