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Finding the Fourth Proportional to 7,833.71, 10,811.08 and 4,476.44

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Solution

The fourth proportional to 7,833.71, 10,811.08 and 4,476.44 is: 6,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.71 : 10,811.08 = 4,476.44 : x
  2. Step 2: Convert to fraction form
    7,833.71/10,811.08 = 4,476.44/x
  3. Step 3: Cross multiply
    7,833.71x = 10,811.08 × 4,476.44
  4. Step 4: Simplify right side
    7,833.71x = 48,395,150.96
  5. Step 5: Solve for x
    x = 48,395,150.96/7,833.71
  6. Step 6: Final answer
    x = 6,177.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.