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Finding the Fourth Proportional to 4,662.69, 6,994.03 and 3,197.40

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Solution

The fourth proportional to 4,662.69, 6,994.03 and 3,197.40 is: 4,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.69 : 6,994.03 = 3,197.40 : x
  2. Step 2: Convert to fraction form
    4,662.69/6,994.03 = 3,197.40/x
  3. Step 3: Cross multiply
    4,662.69x = 6,994.03 × 3,197.40
  4. Step 4: Simplify right side
    4,662.69x = 22,362,711.52
  5. Step 5: Solve for x
    x = 22,362,711.52/4,662.69
  6. Step 6: Final answer
    x = 4,796.10

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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.