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Finding the Fourth Proportional to 9,963.86, 13,735.09 and 8,192.39

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Solution

The fourth proportional to 9,963.86, 13,735.09 and 8,192.39 is: 11,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.86 : 13,735.09 = 8,192.39 : x
  2. Step 2: Convert to fraction form
    9,963.86/13,735.09 = 8,192.39/x
  3. Step 3: Cross multiply
    9,963.86x = 13,735.09 × 8,192.39
  4. Step 4: Simplify right side
    9,963.86x = 112,523,124.81
  5. Step 5: Solve for x
    x = 112,523,124.81/9,963.86
  6. Step 6: Final answer
    x = 11,293.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.