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Finding the Fourth Proportional to 10,493.84, 15,737.40 and 4,255.41

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Solution

The fourth proportional to 10,493.84, 15,737.40 and 4,255.41 is: 6,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.84 : 15,737.40 = 4,255.41 : x
  2. Step 2: Convert to fraction form
    10,493.84/15,737.40 = 4,255.41/x
  3. Step 3: Cross multiply
    10,493.84x = 15,737.40 × 4,255.41
  4. Step 4: Simplify right side
    10,493.84x = 66,969,089.33
  5. Step 5: Solve for x
    x = 66,969,089.33/10,493.84
  6. Step 6: Final answer
    x = 6,381.76

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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.