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Finding the Fourth Proportional to 10,274.36, 15,411.54 and 6,578.33

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Solution

The fourth proportional to 10,274.36, 15,411.54 and 6,578.33 is: 9,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.36 : 15,411.54 = 6,578.33 : x
  2. Step 2: Convert to fraction form
    10,274.36/15,411.54 = 6,578.33/x
  3. Step 3: Cross multiply
    10,274.36x = 15,411.54 × 6,578.33
  4. Step 4: Simplify right side
    10,274.36x = 101,382,195.93
  5. Step 5: Solve for x
    x = 101,382,195.93/10,274.36
  6. Step 6: Final answer
    x = 9,867.50

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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.