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Finding the Fourth Proportional to 4,933.87, 7,401.20 and 1,646.98

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Solution

The fourth proportional to 4,933.87, 7,401.20 and 1,646.98 is: 2,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.87 : 7,401.20 = 1,646.98 : x
  2. Step 2: Convert to fraction form
    4,933.87/7,401.20 = 1,646.98/x
  3. Step 3: Cross multiply
    4,933.87x = 7,401.20 × 1,646.98
  4. Step 4: Simplify right side
    4,933.87x = 12,189,601.64
  5. Step 5: Solve for x
    x = 12,189,601.64/4,933.87
  6. Step 6: Final answer
    x = 2,470.60

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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.