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Finding the Fourth Proportional to 6,167.10, 9,249.56 and 2,006.50

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Solution

The fourth proportional to 6,167.10, 9,249.56 and 2,006.50 is: 3,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.10 : 9,249.56 = 2,006.50 : x
  2. Step 2: Convert to fraction form
    6,167.10/9,249.56 = 2,006.50/x
  3. Step 3: Cross multiply
    6,167.10x = 9,249.56 × 2,006.50
  4. Step 4: Simplify right side
    6,167.10x = 18,559,242.14
  5. Step 5: Solve for x
    x = 18,559,242.14/6,167.10
  6. Step 6: Final answer
    x = 3,009.40

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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.