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Finding the Fourth Proportional to 4,071.66, 6,107.72 and 1,150.22

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Solution

The fourth proportional to 4,071.66, 6,107.72 and 1,150.22 is: 1,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.66 : 6,107.72 = 1,150.22 : x
  2. Step 2: Convert to fraction form
    4,071.66/6,107.72 = 1,150.22/x
  3. Step 3: Cross multiply
    4,071.66x = 6,107.72 × 1,150.22
  4. Step 4: Simplify right side
    4,071.66x = 7,025,185.41
  5. Step 5: Solve for x
    x = 7,025,185.41/4,071.66
  6. Step 6: Final answer
    x = 1,725.39

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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.