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Finding the Fourth Proportional to 3,007.22, 4,511.09 and 927.25

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Solution

The fourth proportional to 3,007.22, 4,511.09 and 927.25 is: 1,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.22 : 4,511.09 = 927.25 : x
  2. Step 2: Convert to fraction form
    3,007.22/4,511.09 = 927.25/x
  3. Step 3: Cross multiply
    3,007.22x = 4,511.09 × 927.25
  4. Step 4: Simplify right side
    3,007.22x = 4,182,899.24
  5. Step 5: Solve for x
    x = 4,182,899.24/3,007.22
  6. Step 6: Final answer
    x = 1,390.95

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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.