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Finding the Fourth Proportional to 6,951.56, 10,420.86 and 2,567.84

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Solution

The fourth proportional to 6,951.56, 10,420.86 and 2,567.84 is: 3,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.56 : 10,420.86 = 2,567.84 : x
  2. Step 2: Convert to fraction form
    6,951.56/10,420.86 = 2,567.84/x
  3. Step 3: Cross multiply
    6,951.56x = 10,420.86 × 2,567.84
  4. Step 4: Simplify right side
    6,951.56x = 26,759,101.14
  5. Step 5: Solve for x
    x = 26,759,101.14/6,951.56
  6. Step 6: Final answer
    x = 3,849.37

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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.