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Finding the Fourth Proportional to 6,551.54, 9,825.90 and 2,167.96

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Solution

The fourth proportional to 6,551.54, 9,825.90 and 2,167.96 is: 3,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.54 : 9,825.90 = 2,167.96 : x
  2. Step 2: Convert to fraction form
    6,551.54/9,825.90 = 2,167.96/x
  3. Step 3: Cross multiply
    6,551.54x = 9,825.90 × 2,167.96
  4. Step 4: Simplify right side
    6,551.54x = 21,302,158.16
  5. Step 5: Solve for x
    x = 21,302,158.16/6,551.54
  6. Step 6: Final answer
    x = 3,251.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.