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Finding the Fourth Proportional to 6,605.50, 9,897.70 and 4,842.34

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Solution

The fourth proportional to 6,605.50, 9,897.70 and 4,842.34 is: 7,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.50 : 9,897.70 = 4,842.34 : x
  2. Step 2: Convert to fraction form
    6,605.50/9,897.70 = 4,842.34/x
  3. Step 3: Cross multiply
    6,605.50x = 9,897.70 × 4,842.34
  4. Step 4: Simplify right side
    6,605.50x = 47,928,028.62
  5. Step 5: Solve for x
    x = 47,928,028.62/6,605.50
  6. Step 6: Final answer
    x = 7,255.78

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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.