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Finding the Fourth Proportional to 7,493.44, 10,340.41 and 4,135.71

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Solution

The fourth proportional to 7,493.44, 10,340.41 and 4,135.71 is: 5,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.44 : 10,340.41 = 4,135.71 : x
  2. Step 2: Convert to fraction form
    7,493.44/10,340.41 = 4,135.71/x
  3. Step 3: Cross multiply
    7,493.44x = 10,340.41 × 4,135.71
  4. Step 4: Simplify right side
    7,493.44x = 42,764,915.07
  5. Step 5: Solve for x
    x = 42,764,915.07/7,493.44
  6. Step 6: Final answer
    x = 5,706.98

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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.