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Finding the Fourth Proportional to 5,367.57, 7,403.49 and 5,186.94

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Solution

The fourth proportional to 5,367.57, 7,403.49 and 5,186.94 is: 7,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.57 : 7,403.49 = 5,186.94 : x
  2. Step 2: Convert to fraction form
    5,367.57/7,403.49 = 5,186.94/x
  3. Step 3: Cross multiply
    5,367.57x = 7,403.49 × 5,186.94
  4. Step 4: Simplify right side
    5,367.57x = 38,401,431.13
  5. Step 5: Solve for x
    x = 38,401,431.13/5,367.57
  6. Step 6: Final answer
    x = 7,154.35

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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.