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Finding the Fourth Proportional to 4,922.64, 7,366.61 and 3,074.63

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Solution

The fourth proportional to 4,922.64, 7,366.61 and 3,074.63 is: 4,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.64 : 7,366.61 = 3,074.63 : x
  2. Step 2: Convert to fraction form
    4,922.64/7,366.61 = 3,074.63/x
  3. Step 3: Cross multiply
    4,922.64x = 7,366.61 × 3,074.63
  4. Step 4: Simplify right side
    4,922.64x = 22,649,570.96
  5. Step 5: Solve for x
    x = 22,649,570.96/4,922.64
  6. Step 6: Final answer
    x = 4,601.10

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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.