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Finding the Fourth Proportional to 7,634.91, 10,457.24 and 7,186.59

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Solution

The fourth proportional to 7,634.91, 10,457.24 and 7,186.59 is: 9,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.91 : 10,457.24 = 7,186.59 : x
  2. Step 2: Convert to fraction form
    7,634.91/10,457.24 = 7,186.59/x
  3. Step 3: Cross multiply
    7,634.91x = 10,457.24 × 7,186.59
  4. Step 4: Simplify right side
    7,634.91x = 75,151,860.48
  5. Step 5: Solve for x
    x = 75,151,860.48/7,634.91
  6. Step 6: Final answer
    x = 9,843.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.