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Finding the Fourth Proportional to 6,785.70, 10,178.64 and 1,855.74

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Solution

The fourth proportional to 6,785.70, 10,178.64 and 1,855.74 is: 2,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.70 : 10,178.64 = 1,855.74 : x
  2. Step 2: Convert to fraction form
    6,785.70/10,178.64 = 1,855.74/x
  3. Step 3: Cross multiply
    6,785.70x = 10,178.64 × 1,855.74
  4. Step 4: Simplify right side
    6,785.70x = 18,888,909.39
  5. Step 5: Solve for x
    x = 18,888,909.39/6,785.70
  6. Step 6: Final answer
    x = 2,783.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.