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Finding the Fourth Proportional to 6,990.24, 9,640.08 and 4,597.92

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Solution

The fourth proportional to 6,990.24, 9,640.08 and 4,597.92 is: 6,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.24 : 9,640.08 = 4,597.92 : x
  2. Step 2: Convert to fraction form
    6,990.24/9,640.08 = 4,597.92/x
  3. Step 3: Cross multiply
    6,990.24x = 9,640.08 × 4,597.92
  4. Step 4: Simplify right side
    6,990.24x = 44,324,316.63
  5. Step 5: Solve for x
    x = 44,324,316.63/6,990.24
  6. Step 6: Final answer
    x = 6,340.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.