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Finding the Fourth Proportional to 4,971.32, 7,453.24 and 4,286.06

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Solution

The fourth proportional to 4,971.32, 7,453.24 and 4,286.06 is: 6,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.32 : 7,453.24 = 4,286.06 : x
  2. Step 2: Convert to fraction form
    4,971.32/7,453.24 = 4,286.06/x
  3. Step 3: Cross multiply
    4,971.32x = 7,453.24 × 4,286.06
  4. Step 4: Simplify right side
    4,971.32x = 31,945,033.83
  5. Step 5: Solve for x
    x = 31,945,033.83/4,971.32
  6. Step 6: Final answer
    x = 6,425.87

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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.