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Finding the Fourth Proportional to 15,090.75, 20,822.83 and 8,376.24

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Solution

The fourth proportional to 15,090.75, 20,822.83 and 8,376.24 is: 11,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.75 : 20,822.83 = 8,376.24 : x
  2. Step 2: Convert to fraction form
    15,090.75/20,822.83 = 8,376.24/x
  3. Step 3: Cross multiply
    15,090.75x = 20,822.83 × 8,376.24
  4. Step 4: Simplify right side
    15,090.75x = 174,417,021.56
  5. Step 5: Solve for x
    x = 174,417,021.56/15,090.75
  6. Step 6: Final answer
    x = 11,557.88

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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.