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Finding the Fourth Proportional to 6,154.71, 8,493.50 and 3,798.21

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Solution

The fourth proportional to 6,154.71, 8,493.50 and 3,798.21 is: 5,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.71 : 8,493.50 = 3,798.21 : x
  2. Step 2: Convert to fraction form
    6,154.71/8,493.50 = 3,798.21/x
  3. Step 3: Cross multiply
    6,154.71x = 8,493.50 × 3,798.21
  4. Step 4: Simplify right side
    6,154.71x = 32,260,096.64
  5. Step 5: Solve for x
    x = 32,260,096.64/6,154.71
  6. Step 6: Final answer
    x = 5,241.53

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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.