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Finding the Fourth Proportional to 7,676.14, 10,571.12 and 6,913.42

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Solution

The fourth proportional to 7,676.14, 10,571.12 and 6,913.42 is: 9,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.14 : 10,571.12 = 6,913.42 : x
  2. Step 2: Convert to fraction form
    7,676.14/10,571.12 = 6,913.42/x
  3. Step 3: Cross multiply
    7,676.14x = 10,571.12 × 6,913.42
  4. Step 4: Simplify right side
    7,676.14x = 73,082,592.43
  5. Step 5: Solve for x
    x = 73,082,592.43/7,676.14
  6. Step 6: Final answer
    x = 9,520.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.