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Finding the Fourth Proportional to 10,662.10, 15,993.15 and 5,734.06

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Solution

The fourth proportional to 10,662.10, 15,993.15 and 5,734.06 is: 8,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.10 : 15,993.15 = 5,734.06 : x
  2. Step 2: Convert to fraction form
    10,662.10/15,993.15 = 5,734.06/x
  3. Step 3: Cross multiply
    10,662.10x = 15,993.15 × 5,734.06
  4. Step 4: Simplify right side
    10,662.10x = 91,705,681.69
  5. Step 5: Solve for x
    x = 91,705,681.69/10,662.10
  6. Step 6: Final answer
    x = 8,601.09

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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.