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Finding the Fourth Proportional to 7,493.53, 10,344.52 and 4,664.78

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Solution

The fourth proportional to 7,493.53, 10,344.52 and 4,664.78 is: 6,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.53 : 10,344.52 = 4,664.78 : x
  2. Step 2: Convert to fraction form
    7,493.53/10,344.52 = 4,664.78/x
  3. Step 3: Cross multiply
    7,493.53x = 10,344.52 × 4,664.78
  4. Step 4: Simplify right side
    7,493.53x = 48,254,910.01
  5. Step 5: Solve for x
    x = 48,254,910.01/7,493.53
  6. Step 6: Final answer
    x = 6,439.54

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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.