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Finding the Fourth Proportional to 7,141.86, 10,694.16 and 5,747.58

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Solution

The fourth proportional to 7,141.86, 10,694.16 and 5,747.58 is: 8,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.86 : 10,694.16 = 5,747.58 : x
  2. Step 2: Convert to fraction form
    7,141.86/10,694.16 = 5,747.58/x
  3. Step 3: Cross multiply
    7,141.86x = 10,694.16 × 5,747.58
  4. Step 4: Simplify right side
    7,141.86x = 61,465,540.13
  5. Step 5: Solve for x
    x = 61,465,540.13/7,141.86
  6. Step 6: Final answer
    x = 8,606.38

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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.