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Finding the Fourth Proportional to 6,653.79, 9,980.97 and 2,492.71

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Solution

The fourth proportional to 6,653.79, 9,980.97 and 2,492.71 is: 3,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.79 : 9,980.97 = 2,492.71 : x
  2. Step 2: Convert to fraction form
    6,653.79/9,980.97 = 2,492.71/x
  3. Step 3: Cross multiply
    6,653.79x = 9,980.97 × 2,492.71
  4. Step 4: Simplify right side
    6,653.79x = 24,879,663.73
  5. Step 5: Solve for x
    x = 24,879,663.73/6,653.79
  6. Step 6: Final answer
    x = 3,739.17

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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.