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Finding the Fourth Proportional to 6,594.05, 9,891.37 and 3,670.15

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Solution

The fourth proportional to 6,594.05, 9,891.37 and 3,670.15 is: 5,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.05 : 9,891.37 = 3,670.15 : x
  2. Step 2: Convert to fraction form
    6,594.05/9,891.37 = 3,670.15/x
  3. Step 3: Cross multiply
    6,594.05x = 9,891.37 × 3,670.15
  4. Step 4: Simplify right side
    6,594.05x = 36,302,762.15
  5. Step 5: Solve for x
    x = 36,302,762.15/6,594.05
  6. Step 6: Final answer
    x = 5,505.39

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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.