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Finding the Fourth Proportional to 4,900.69, 7,347.69 and 1,613.30

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Solution

The fourth proportional to 4,900.69, 7,347.69 and 1,613.30 is: 2,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.69 : 7,347.69 = 1,613.30 : x
  2. Step 2: Convert to fraction form
    4,900.69/7,347.69 = 1,613.30/x
  3. Step 3: Cross multiply
    4,900.69x = 7,347.69 × 1,613.30
  4. Step 4: Simplify right side
    4,900.69x = 11,854,028.28
  5. Step 5: Solve for x
    x = 11,854,028.28/4,900.69
  6. Step 6: Final answer
    x = 2,418.85

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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.