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Finding the Fourth Proportional to 7,101.55, 9,796.84 and 4,229.02

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Solution

The fourth proportional to 7,101.55, 9,796.84 and 4,229.02 is: 5,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.55 : 9,796.84 = 4,229.02 : x
  2. Step 2: Convert to fraction form
    7,101.55/9,796.84 = 4,229.02/x
  3. Step 3: Cross multiply
    7,101.55x = 9,796.84 × 4,229.02
  4. Step 4: Simplify right side
    7,101.55x = 41,431,032.30
  5. Step 5: Solve for x
    x = 41,431,032.30/7,101.55
  6. Step 6: Final answer
    x = 5,834.08

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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.