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Finding the Fourth Proportional to 5,099.99, 7,648.77 and 1,402.52

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Solution

The fourth proportional to 5,099.99, 7,648.77 and 1,402.52 is: 2,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.99 : 7,648.77 = 1,402.52 : x
  2. Step 2: Convert to fraction form
    5,099.99/7,648.77 = 1,402.52/x
  3. Step 3: Cross multiply
    5,099.99x = 7,648.77 × 1,402.52
  4. Step 4: Simplify right side
    5,099.99x = 10,727,514.66
  5. Step 5: Solve for x
    x = 10,727,514.66/5,099.99
  6. Step 6: Final answer
    x = 2,103.44

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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.