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Finding the Fourth Proportional to 9,797.15, 13,512.93 and 6,213.21

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Solution

The fourth proportional to 9,797.15, 13,512.93 and 6,213.21 is: 8,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.15 : 13,512.93 = 6,213.21 : x
  2. Step 2: Convert to fraction form
    9,797.15/13,512.93 = 6,213.21/x
  3. Step 3: Cross multiply
    9,797.15x = 13,512.93 × 6,213.21
  4. Step 4: Simplify right side
    9,797.15x = 83,958,597.83
  5. Step 5: Solve for x
    x = 83,958,597.83/9,797.15
  6. Step 6: Final answer
    x = 8,569.69

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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.