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Finding the Fourth Proportional to 9,806.97, 14,710.46 and 2,411.57

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Solution

The fourth proportional to 9,806.97, 14,710.46 and 2,411.57 is: 3,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.97 : 14,710.46 = 2,411.57 : x
  2. Step 2: Convert to fraction form
    9,806.97/14,710.46 = 2,411.57/x
  3. Step 3: Cross multiply
    9,806.97x = 14,710.46 × 2,411.57
  4. Step 4: Simplify right side
    9,806.97x = 35,475,342.31
  5. Step 5: Solve for x
    x = 35,475,342.31/9,806.97
  6. Step 6: Final answer
    x = 3,617.36

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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.