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Finding the Fourth Proportional to 6,610.37, 9,902.47 and 4,968.77

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Solution

The fourth proportional to 6,610.37, 9,902.47 and 4,968.77 is: 7,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.37 : 9,902.47 = 4,968.77 : x
  2. Step 2: Convert to fraction form
    6,610.37/9,902.47 = 4,968.77/x
  3. Step 3: Cross multiply
    6,610.37x = 9,902.47 × 4,968.77
  4. Step 4: Simplify right side
    6,610.37x = 49,203,095.86
  5. Step 5: Solve for x
    x = 49,203,095.86/6,610.37
  6. Step 6: Final answer
    x = 7,443.32

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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.