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Finding the Fourth Proportional to 6,994.50, 9,652.44 and 4,201.62

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Solution

The fourth proportional to 6,994.50, 9,652.44 and 4,201.62 is: 5,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.50 : 9,652.44 = 4,201.62 : x
  2. Step 2: Convert to fraction form
    6,994.50/9,652.44 = 4,201.62/x
  3. Step 3: Cross multiply
    6,994.50x = 9,652.44 × 4,201.62
  4. Step 4: Simplify right side
    6,994.50x = 40,555,884.95
  5. Step 5: Solve for x
    x = 40,555,884.95/6,994.50
  6. Step 6: Final answer
    x = 5,798.25

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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.