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Finding the Fourth Proportional to 6,000.10, 9,000.15 and 3,076.54

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Solution

The fourth proportional to 6,000.10, 9,000.15 and 3,076.54 is: 4,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.10 : 9,000.15 = 3,076.54 : x
  2. Step 2: Convert to fraction form
    6,000.10/9,000.15 = 3,076.54/x
  3. Step 3: Cross multiply
    6,000.10x = 9,000.15 × 3,076.54
  4. Step 4: Simplify right side
    6,000.10x = 27,689,298.98
  5. Step 5: Solve for x
    x = 27,689,298.98/6,000.10
  6. Step 6: Final answer
    x = 4,614.81

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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.