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Finding the Fourth Proportional to 8,894.75, 12,284.66 and 6,902.25

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Solution

The fourth proportional to 8,894.75, 12,284.66 and 6,902.25 is: 9,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.75 : 12,284.66 = 6,902.25 : x
  2. Step 2: Convert to fraction form
    8,894.75/12,284.66 = 6,902.25/x
  3. Step 3: Cross multiply
    8,894.75x = 12,284.66 × 6,902.25
  4. Step 4: Simplify right side
    8,894.75x = 84,791,759.97
  5. Step 5: Solve for x
    x = 84,791,759.97/8,894.75
  6. Step 6: Final answer
    x = 9,532.79

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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.