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Finding the Fourth Proportional to 4,811.74, 7,205.29 and 4,262.27

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Solution

The fourth proportional to 4,811.74, 7,205.29 and 4,262.27 is: 6,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.74 : 7,205.29 = 4,262.27 : x
  2. Step 2: Convert to fraction form
    4,811.74/7,205.29 = 4,262.27/x
  3. Step 3: Cross multiply
    4,811.74x = 7,205.29 × 4,262.27
  4. Step 4: Simplify right side
    4,811.74x = 30,710,844.73
  5. Step 5: Solve for x
    x = 30,710,844.73/4,811.74
  6. Step 6: Final answer
    x = 6,382.49

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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.