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Finding the Fourth Proportional to 7,853.76, 11,773.96 and 3,468.83

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Solution

The fourth proportional to 7,853.76, 11,773.96 and 3,468.83 is: 5,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.76 : 11,773.96 = 3,468.83 : x
  2. Step 2: Convert to fraction form
    7,853.76/11,773.96 = 3,468.83/x
  3. Step 3: Cross multiply
    7,853.76x = 11,773.96 × 3,468.83
  4. Step 4: Simplify right side
    7,853.76x = 40,841,798.12
  5. Step 5: Solve for x
    x = 40,841,798.12/7,853.76
  6. Step 6: Final answer
    x = 5,200.29

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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.