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Finding the Fourth Proportional to 7,833.86, 10,811.98 and 5,850.07

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Solution

The fourth proportional to 7,833.86, 10,811.98 and 5,850.07 is: 8,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.86 : 10,811.98 = 5,850.07 : x
  2. Step 2: Convert to fraction form
    7,833.86/10,811.98 = 5,850.07/x
  3. Step 3: Cross multiply
    7,833.86x = 10,811.98 × 5,850.07
  4. Step 4: Simplify right side
    7,833.86x = 63,250,880.94
  5. Step 5: Solve for x
    x = 63,250,880.94/7,833.86
  6. Step 6: Final answer
    x = 8,074.03

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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.