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Finding the Fourth Proportional to 9,152.98, 12,629.07 and 5,965.99

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Solution

The fourth proportional to 9,152.98, 12,629.07 and 5,965.99 is: 8,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.98 : 12,629.07 = 5,965.99 : x
  2. Step 2: Convert to fraction form
    9,152.98/12,629.07 = 5,965.99/x
  3. Step 3: Cross multiply
    9,152.98x = 12,629.07 × 5,965.99
  4. Step 4: Simplify right side
    9,152.98x = 75,344,873.76
  5. Step 5: Solve for x
    x = 75,344,873.76/9,152.98
  6. Step 6: Final answer
    x = 8,231.73

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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.