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Finding the Fourth Proportional to 7,850.83, 11,776.23 and 2,007.42

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Solution

The fourth proportional to 7,850.83, 11,776.23 and 2,007.42 is: 3,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.83 : 11,776.23 = 2,007.42 : x
  2. Step 2: Convert to fraction form
    7,850.83/11,776.23 = 2,007.42/x
  3. Step 3: Cross multiply
    7,850.83x = 11,776.23 × 2,007.42
  4. Step 4: Simplify right side
    7,850.83x = 23,639,829.59
  5. Step 5: Solve for x
    x = 23,639,829.59/7,850.83
  6. Step 6: Final answer
    x = 3,011.12

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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.