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Finding the Fourth Proportional to 4,662.88, 6,994.38 and 1,200.13

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Solution

The fourth proportional to 4,662.88, 6,994.38 and 1,200.13 is: 1,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.88 : 6,994.38 = 1,200.13 : x
  2. Step 2: Convert to fraction form
    4,662.88/6,994.38 = 1,200.13/x
  3. Step 3: Cross multiply
    4,662.88x = 6,994.38 × 1,200.13
  4. Step 4: Simplify right side
    4,662.88x = 8,394,165.27
  5. Step 5: Solve for x
    x = 8,394,165.27/4,662.88
  6. Step 6: Final answer
    x = 1,800.21

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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.