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Finding the Fourth Proportional to 7,841.76, 11,760.36 and 3,160.32

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Solution

The fourth proportional to 7,841.76, 11,760.36 and 3,160.32 is: 4,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.76 : 11,760.36 = 3,160.32 : x
  2. Step 2: Convert to fraction form
    7,841.76/11,760.36 = 3,160.32/x
  3. Step 3: Cross multiply
    7,841.76x = 11,760.36 × 3,160.32
  4. Step 4: Simplify right side
    7,841.76x = 37,166,500.92
  5. Step 5: Solve for x
    x = 37,166,500.92/7,841.76
  6. Step 6: Final answer
    x = 4,739.56

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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.