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Finding the Fourth Proportional to 9,921.60, 14,794.74 and 9,832.56

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Solution

The fourth proportional to 9,921.60, 14,794.74 and 9,832.56 is: 14,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.60 : 14,794.74 = 9,832.56 : x
  2. Step 2: Convert to fraction form
    9,921.60/14,794.74 = 9,832.56/x
  3. Step 3: Cross multiply
    9,921.60x = 14,794.74 × 9,832.56
  4. Step 4: Simplify right side
    9,921.60x = 145,470,168.73
  5. Step 5: Solve for x
    x = 145,470,168.73/9,921.60
  6. Step 6: Final answer
    x = 14,661.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.