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Finding the Fourth Proportional to 7,873.95, 11,807.57 and 3,194.98

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Solution

The fourth proportional to 7,873.95, 11,807.57 and 3,194.98 is: 4,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.95 : 11,807.57 = 3,194.98 : x
  2. Step 2: Convert to fraction form
    7,873.95/11,807.57 = 3,194.98/x
  3. Step 3: Cross multiply
    7,873.95x = 11,807.57 × 3,194.98
  4. Step 4: Simplify right side
    7,873.95x = 37,724,950.00
  5. Step 5: Solve for x
    x = 37,724,950.00/7,873.95
  6. Step 6: Final answer
    x = 4,791.11

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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.