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Finding the Fourth Proportional to 6,096.34, 9,148.14 and 5,600.62

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Solution

The fourth proportional to 6,096.34, 9,148.14 and 5,600.62 is: 8,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.34 : 9,148.14 = 5,600.62 : x
  2. Step 2: Convert to fraction form
    6,096.34/9,148.14 = 5,600.62/x
  3. Step 3: Cross multiply
    6,096.34x = 9,148.14 × 5,600.62
  4. Step 4: Simplify right side
    6,096.34x = 51,235,255.85
  5. Step 5: Solve for x
    x = 51,235,255.85/6,096.34
  6. Step 6: Final answer
    x = 8,404.26

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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.