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Finding the Fourth Proportional to 9,797.16, 13,518.18 and 6,257.64

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Solution

The fourth proportional to 9,797.16, 13,518.18 and 6,257.64 is: 8,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.16 : 13,518.18 = 6,257.64 : x
  2. Step 2: Convert to fraction form
    9,797.16/13,518.18 = 6,257.64/x
  3. Step 3: Cross multiply
    9,797.16x = 13,518.18 × 6,257.64
  4. Step 4: Simplify right side
    9,797.16x = 84,591,903.90
  5. Step 5: Solve for x
    x = 84,591,903.90/9,797.16
  6. Step 6: Final answer
    x = 8,634.33

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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.