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Finding the Fourth Proportional to 6,592.73, 9,895.01 and 3,307.66

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Solution

The fourth proportional to 6,592.73, 9,895.01 and 3,307.66 is: 4,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.73 : 9,895.01 = 3,307.66 : x
  2. Step 2: Convert to fraction form
    6,592.73/9,895.01 = 3,307.66/x
  3. Step 3: Cross multiply
    6,592.73x = 9,895.01 × 3,307.66
  4. Step 4: Simplify right side
    6,592.73x = 32,729,287.50
  5. Step 5: Solve for x
    x = 32,729,287.50/6,592.73
  6. Step 6: Final answer
    x = 4,964.46

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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.