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Finding the Fourth Proportional to 9,797.09, 13,522.75 and 8,032.91

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Solution

The fourth proportional to 9,797.09, 13,522.75 and 8,032.91 is: 11,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.09 : 13,522.75 = 8,032.91 : x
  2. Step 2: Convert to fraction form
    9,797.09/13,522.75 = 8,032.91/x
  3. Step 3: Cross multiply
    9,797.09x = 13,522.75 × 8,032.91
  4. Step 4: Simplify right side
    9,797.09x = 108,626,946.01
  5. Step 5: Solve for x
    x = 108,626,946.01/9,797.09
  6. Step 6: Final answer
    x = 11,087.68

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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.