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Finding the Fourth Proportional to 7,833.95, 10,811.42 and 4,476.69

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Solution

The fourth proportional to 7,833.95, 10,811.42 and 4,476.69 is: 6,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.95 : 10,811.42 = 4,476.69 : x
  2. Step 2: Convert to fraction form
    7,833.95/10,811.42 = 4,476.69/x
  3. Step 3: Cross multiply
    7,833.95x = 10,811.42 × 4,476.69
  4. Step 4: Simplify right side
    7,833.95x = 48,399,375.80
  5. Step 5: Solve for x
    x = 48,399,375.80/7,833.95
  6. Step 6: Final answer
    x = 6,178.16

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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.