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Finding the Fourth Proportional to 18,502.86, 27,765.23 and 6,824.28

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Solution

The fourth proportional to 18,502.86, 27,765.23 and 6,824.28 is: 10,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.86 : 27,765.23 = 6,824.28 : x
  2. Step 2: Convert to fraction form
    18,502.86/27,765.23 = 6,824.28/x
  3. Step 3: Cross multiply
    18,502.86x = 27,765.23 × 6,824.28
  4. Step 4: Simplify right side
    18,502.86x = 189,477,669.66
  5. Step 5: Solve for x
    x = 189,477,669.66/18,502.86
  6. Step 6: Final answer
    x = 10,240.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.