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Finding the Fourth Proportional to 9,356.80, 12,912 and 5,994.88

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Solution

The fourth proportional to 9,356.80, 12,912 and 5,994.88 is: 8,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.80 : 12,912 = 5,994.88 : x
  2. Step 2: Convert to fraction form
    9,356.80/12,912 = 5,994.88/x
  3. Step 3: Cross multiply
    9,356.80x = 12,912 × 5,994.88
  4. Step 4: Simplify right side
    9,356.80x = 77,405,890.56
  5. Step 5: Solve for x
    x = 77,405,890.56/9,356.80
  6. Step 6: Final answer
    x = 8,272.69

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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.