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Finding the Fourth Proportional to 6,424.76, 9,633.49 and 3,829.52

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Solution

The fourth proportional to 6,424.76, 9,633.49 and 3,829.52 is: 5,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.76 : 9,633.49 = 3,829.52 : x
  2. Step 2: Convert to fraction form
    6,424.76/9,633.49 = 3,829.52/x
  3. Step 3: Cross multiply
    6,424.76x = 9,633.49 × 3,829.52
  4. Step 4: Simplify right side
    6,424.76x = 36,891,642.62
  5. Step 5: Solve for x
    x = 36,891,642.62/6,424.76
  6. Step 6: Final answer
    x = 5,742.10

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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.