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Finding the Fourth Proportional to 6,182.55, 9,267.62 and 3,064.82

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Solution

The fourth proportional to 6,182.55, 9,267.62 and 3,064.82 is: 4,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.55 : 9,267.62 = 3,064.82 : x
  2. Step 2: Convert to fraction form
    6,182.55/9,267.62 = 3,064.82/x
  3. Step 3: Cross multiply
    6,182.55x = 9,267.62 × 3,064.82
  4. Step 4: Simplify right side
    6,182.55x = 28,403,525.47
  5. Step 5: Solve for x
    x = 28,403,525.47/6,182.55
  6. Step 6: Final answer
    x = 4,594.14

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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.