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Finding the Fourth Proportional to 6,364.82, 9,536.97 and 3,444.50

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Solution

The fourth proportional to 6,364.82, 9,536.97 and 3,444.50 is: 5,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.82 : 9,536.97 = 3,444.50 : x
  2. Step 2: Convert to fraction form
    6,364.82/9,536.97 = 3,444.50/x
  3. Step 3: Cross multiply
    6,364.82x = 9,536.97 × 3,444.50
  4. Step 4: Simplify right side
    6,364.82x = 32,850,093.17
  5. Step 5: Solve for x
    x = 32,850,093.17/6,364.82
  6. Step 6: Final answer
    x = 5,161.20

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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.