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Finding the Fourth Proportional to 9,698.26, 13,391.49 and 7,906.02

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Solution

The fourth proportional to 9,698.26, 13,391.49 and 7,906.02 is: 10,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.26 : 13,391.49 = 7,906.02 : x
  2. Step 2: Convert to fraction form
    9,698.26/13,391.49 = 7,906.02/x
  3. Step 3: Cross multiply
    9,698.26x = 13,391.49 × 7,906.02
  4. Step 4: Simplify right side
    9,698.26x = 105,873,387.77
  5. Step 5: Solve for x
    x = 105,873,387.77/9,698.26
  6. Step 6: Final answer
    x = 10,916.74

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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.