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Finding the Fourth Proportional to 9,797.29, 13,529.48 and 6,821.26

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Solution

The fourth proportional to 9,797.29, 13,529.48 and 6,821.26 is: 9,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.29 : 13,529.48 = 6,821.26 : x
  2. Step 2: Convert to fraction form
    9,797.29/13,529.48 = 6,821.26/x
  3. Step 3: Cross multiply
    9,797.29x = 13,529.48 × 6,821.26
  4. Step 4: Simplify right side
    9,797.29x = 92,288,032.81
  5. Step 5: Solve for x
    x = 92,288,032.81/9,797.29
  6. Step 6: Final answer
    x = 9,419.75

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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.