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Finding the Fourth Proportional to 7,022.88, 9,691.11 and 5,534.64

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Solution

The fourth proportional to 7,022.88, 9,691.11 and 5,534.64 is: 7,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.88 : 9,691.11 = 5,534.64 : x
  2. Step 2: Convert to fraction form
    7,022.88/9,691.11 = 5,534.64/x
  3. Step 3: Cross multiply
    7,022.88x = 9,691.11 × 5,534.64
  4. Step 4: Simplify right side
    7,022.88x = 53,636,805.05
  5. Step 5: Solve for x
    x = 53,636,805.05/7,022.88
  6. Step 6: Final answer
    x = 7,637.44

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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.