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Finding the Fourth Proportional to 7,051.05, 10,567.76 and 6,171.57

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Solution

The fourth proportional to 7,051.05, 10,567.76 and 6,171.57 is: 9,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.05 : 10,567.76 = 6,171.57 : x
  2. Step 2: Convert to fraction form
    7,051.05/10,567.76 = 6,171.57/x
  3. Step 3: Cross multiply
    7,051.05x = 10,567.76 × 6,171.57
  4. Step 4: Simplify right side
    7,051.05x = 65,219,639.73
  5. Step 5: Solve for x
    x = 65,219,639.73/7,051.05
  6. Step 6: Final answer
    x = 9,249.64

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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.