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Finding the Fourth Proportional to 9,800.49, 14,696.48 and 3,558.43

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Solution

The fourth proportional to 9,800.49, 14,696.48 and 3,558.43 is: 5,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.49 : 14,696.48 = 3,558.43 : x
  2. Step 2: Convert to fraction form
    9,800.49/14,696.48 = 3,558.43/x
  3. Step 3: Cross multiply
    9,800.49x = 14,696.48 × 3,558.43
  4. Step 4: Simplify right side
    9,800.49x = 52,296,395.33
  5. Step 5: Solve for x
    x = 52,296,395.33/9,800.49
  6. Step 6: Final answer
    x = 5,336.10

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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.