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Finding the Fourth Proportional to 6,605.07, 9,898.36 and 4,747.47

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Solution

The fourth proportional to 6,605.07, 9,898.36 and 4,747.47 is: 7,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.07 : 9,898.36 = 4,747.47 : x
  2. Step 2: Convert to fraction form
    6,605.07/9,898.36 = 4,747.47/x
  3. Step 3: Cross multiply
    6,605.07x = 9,898.36 × 4,747.47
  4. Step 4: Simplify right side
    6,605.07x = 46,992,167.15
  5. Step 5: Solve for x
    x = 46,992,167.15/6,605.07
  6. Step 6: Final answer
    x = 7,114.56

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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.