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Finding the Fourth Proportional to 5,186.48, 7,773.22 and 4,086.50

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Solution

The fourth proportional to 5,186.48, 7,773.22 and 4,086.50 is: 6,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.48 : 7,773.22 = 4,086.50 : x
  2. Step 2: Convert to fraction form
    5,186.48/7,773.22 = 4,086.50/x
  3. Step 3: Cross multiply
    5,186.48x = 7,773.22 × 4,086.50
  4. Step 4: Simplify right side
    5,186.48x = 31,765,263.53
  5. Step 5: Solve for x
    x = 31,765,263.53/5,186.48
  6. Step 6: Final answer
    x = 6,124.63

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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.