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Finding the Fourth Proportional to 9,895.24, 14,843.10 and 3,321.64

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Solution

The fourth proportional to 9,895.24, 14,843.10 and 3,321.64 is: 4,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.24 : 14,843.10 = 3,321.64 : x
  2. Step 2: Convert to fraction form
    9,895.24/14,843.10 = 3,321.64/x
  3. Step 3: Cross multiply
    9,895.24x = 14,843.10 × 3,321.64
  4. Step 4: Simplify right side
    9,895.24x = 49,303,434.68
  5. Step 5: Solve for x
    x = 49,303,434.68/9,895.24
  6. Step 6: Final answer
    x = 4,982.54

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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.