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Finding the Fourth Proportional to 5,064.14, 6,986.90 and 3,493.14

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Solution

The fourth proportional to 5,064.14, 6,986.90 and 3,493.14 is: 4,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.14 : 6,986.90 = 3,493.14 : x
  2. Step 2: Convert to fraction form
    5,064.14/6,986.90 = 3,493.14/x
  3. Step 3: Cross multiply
    5,064.14x = 6,986.90 × 3,493.14
  4. Step 4: Simplify right side
    5,064.14x = 24,406,202.40
  5. Step 5: Solve for x
    x = 24,406,202.40/5,064.14
  6. Step 6: Final answer
    x = 4,819.42

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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.