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Finding the Fourth Proportional to 6,442.84, 9,667.90 and 2,744.68

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Solution

The fourth proportional to 6,442.84, 9,667.90 and 2,744.68 is: 4,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.84 : 9,667.90 = 2,744.68 : x
  2. Step 2: Convert to fraction form
    6,442.84/9,667.90 = 2,744.68/x
  3. Step 3: Cross multiply
    6,442.84x = 9,667.90 × 2,744.68
  4. Step 4: Simplify right side
    6,442.84x = 26,535,291.77
  5. Step 5: Solve for x
    x = 26,535,291.77/6,442.84
  6. Step 6: Final answer
    x = 4,118.57

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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.