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Finding the Fourth Proportional to 10,662.35, 15,993.53 and 5,734.31

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Solution

The fourth proportional to 10,662.35, 15,993.53 and 5,734.31 is: 8,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.35 : 15,993.53 = 5,734.31 : x
  2. Step 2: Convert to fraction form
    10,662.35/15,993.53 = 5,734.31/x
  3. Step 3: Cross multiply
    10,662.35x = 15,993.53 × 5,734.31
  4. Step 4: Simplify right side
    10,662.35x = 91,711,859.01
  5. Step 5: Solve for x
    x = 91,711,859.01/10,662.35
  6. Step 6: Final answer
    x = 8,601.47

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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.