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Finding the Fourth Proportional to 9,891.24, 14,820.38 and 6,963.38

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Solution

The fourth proportional to 9,891.24, 14,820.38 and 6,963.38 is: 10,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.24 : 14,820.38 = 6,963.38 : x
  2. Step 2: Convert to fraction form
    9,891.24/14,820.38 = 6,963.38/x
  3. Step 3: Cross multiply
    9,891.24x = 14,820.38 × 6,963.38
  4. Step 4: Simplify right side
    9,891.24x = 103,199,937.68
  5. Step 5: Solve for x
    x = 103,199,937.68/9,891.24
  6. Step 6: Final answer
    x = 10,433.47

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1.5x scale

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.