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Finding the Fourth Proportional to 6,467.72, 9,693.18 and 2,907.22

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Solution

The fourth proportional to 6,467.72, 9,693.18 and 2,907.22 is: 4,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.72 : 9,693.18 = 2,907.22 : x
  2. Step 2: Convert to fraction form
    6,467.72/9,693.18 = 2,907.22/x
  3. Step 3: Cross multiply
    6,467.72x = 9,693.18 × 2,907.22
  4. Step 4: Simplify right side
    6,467.72x = 28,180,206.76
  5. Step 5: Solve for x
    x = 28,180,206.76/6,467.72
  6. Step 6: Final answer
    x = 4,357.05

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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.