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Finding the Fourth Proportional to 5,194.55, 7,773.60 and 4,472.84

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Solution

The fourth proportional to 5,194.55, 7,773.60 and 4,472.84 is: 6,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.55 : 7,773.60 = 4,472.84 : x
  2. Step 2: Convert to fraction form
    5,194.55/7,773.60 = 4,472.84/x
  3. Step 3: Cross multiply
    5,194.55x = 7,773.60 × 4,472.84
  4. Step 4: Simplify right side
    5,194.55x = 34,770,069.02
  5. Step 5: Solve for x
    x = 34,770,069.02/5,194.55
  6. Step 6: Final answer
    x = 6,693.57

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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.