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Finding the Fourth Proportional to 5,684.91, 7,845.03 and 5,517.24

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Solution

The fourth proportional to 5,684.91, 7,845.03 and 5,517.24 is: 7,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.91 : 7,845.03 = 5,517.24 : x
  2. Step 2: Convert to fraction form
    5,684.91/7,845.03 = 5,517.24/x
  3. Step 3: Cross multiply
    5,684.91x = 7,845.03 × 5,517.24
  4. Step 4: Simplify right side
    5,684.91x = 43,282,913.32
  5. Step 5: Solve for x
    x = 43,282,913.32/5,684.91
  6. Step 6: Final answer
    x = 7,613.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.