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Finding the Fourth Proportional to 5,615.38, 8,411 and 4,556.44

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Solution

The fourth proportional to 5,615.38, 8,411 and 4,556.44 is: 6,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.38 : 8,411 = 4,556.44 : x
  2. Step 2: Convert to fraction form
    5,615.38/8,411 = 4,556.44/x
  3. Step 3: Cross multiply
    5,615.38x = 8,411 × 4,556.44
  4. Step 4: Simplify right side
    5,615.38x = 38,324,216.84
  5. Step 5: Solve for x
    x = 38,324,216.84/5,615.38
  6. Step 6: Final answer
    x = 6,824.87

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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.