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Finding the Fourth Proportional to 7,096.01, 9,791.99 and 4,224.59

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Solution

The fourth proportional to 7,096.01, 9,791.99 and 4,224.59 is: 5,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.01 : 9,791.99 = 4,224.59 : x
  2. Step 2: Convert to fraction form
    7,096.01/9,791.99 = 4,224.59/x
  3. Step 3: Cross multiply
    7,096.01x = 9,791.99 × 4,224.59
  4. Step 4: Simplify right side
    7,096.01x = 41,367,125.51
  5. Step 5: Solve for x
    x = 41,367,125.51/7,096.01
  6. Step 6: Final answer
    x = 5,829.63

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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.