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Finding the Fourth Proportional to 8,212.80, 12,334.56 and 6,981.60

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Solution

The fourth proportional to 8,212.80, 12,334.56 and 6,981.60 is: 10,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.80 : 12,334.56 = 6,981.60 : x
  2. Step 2: Convert to fraction form
    8,212.80/12,334.56 = 6,981.60/x
  3. Step 3: Cross multiply
    8,212.80x = 12,334.56 × 6,981.60
  4. Step 4: Simplify right side
    8,212.80x = 86,114,964.10
  5. Step 5: Solve for x
    x = 86,114,964.10/8,212.80
  6. Step 6: Final answer
    x = 10,485.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.