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Finding the Fourth Proportional to 4,662.84, 6,994.23 and 3,197.55

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Solution

The fourth proportional to 4,662.84, 6,994.23 and 3,197.55 is: 4,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.84 : 6,994.23 = 3,197.55 : x
  2. Step 2: Convert to fraction form
    4,662.84/6,994.23 = 3,197.55/x
  3. Step 3: Cross multiply
    4,662.84x = 6,994.23 × 3,197.55
  4. Step 4: Simplify right side
    4,662.84x = 22,364,400.14
  5. Step 5: Solve for x
    x = 22,364,400.14/4,662.84
  6. Step 6: Final answer
    x = 4,796.30

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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.