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Finding the Fourth Proportional to 6,884.01, 9,499.95 and 3,740.22

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Solution

The fourth proportional to 6,884.01, 9,499.95 and 3,740.22 is: 5,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.01 : 9,499.95 = 3,740.22 : x
  2. Step 2: Convert to fraction form
    6,884.01/9,499.95 = 3,740.22/x
  3. Step 3: Cross multiply
    6,884.01x = 9,499.95 × 3,740.22
  4. Step 4: Simplify right side
    6,884.01x = 35,531,902.99
  5. Step 5: Solve for x
    x = 35,531,902.99/6,884.01
  6. Step 6: Final answer
    x = 5,161.51

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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.