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Finding the Fourth Proportional to 15,309.96, 22,965.42 and 4,216.56

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Solution

The fourth proportional to 15,309.96, 22,965.42 and 4,216.56 is: 6,324.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.96 : 22,965.42 = 4,216.56 : x
  2. Step 2: Convert to fraction form
    15,309.96/22,965.42 = 4,216.56/x
  3. Step 3: Cross multiply
    15,309.96x = 22,965.42 × 4,216.56
  4. Step 4: Simplify right side
    15,309.96x = 96,835,071.36
  5. Step 5: Solve for x
    x = 96,835,071.36/15,309.96
  6. Step 6: Final answer
    x = 6,324.97

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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.