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Finding the Fourth Proportional to 6,303.99, 9,443.69 and 3,832.68

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Solution

The fourth proportional to 6,303.99, 9,443.69 and 3,832.68 is: 5,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.99 : 9,443.69 = 3,832.68 : x
  2. Step 2: Convert to fraction form
    6,303.99/9,443.69 = 3,832.68/x
  3. Step 3: Cross multiply
    6,303.99x = 9,443.69 × 3,832.68
  4. Step 4: Simplify right side
    6,303.99x = 36,194,672.41
  5. Step 5: Solve for x
    x = 36,194,672.41/6,303.99
  6. Step 6: Final answer
    x = 5,741.55

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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.