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Finding the Fourth Proportional to 4,933.64, 7,397.73 and 1,644.95

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Solution

The fourth proportional to 4,933.64, 7,397.73 and 1,644.95 is: 2,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.64 : 7,397.73 = 1,644.95 : x
  2. Step 2: Convert to fraction form
    4,933.64/7,397.73 = 1,644.95/x
  3. Step 3: Cross multiply
    4,933.64x = 7,397.73 × 1,644.95
  4. Step 4: Simplify right side
    4,933.64x = 12,168,858.97
  5. Step 5: Solve for x
    x = 12,168,858.97/4,933.64
  6. Step 6: Final answer
    x = 2,466.51

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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.