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Finding the Fourth Proportional to 6,166.21, 9,250.76 and 1,783.55

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Solution

The fourth proportional to 6,166.21, 9,250.76 and 1,783.55 is: 2,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.21 : 9,250.76 = 1,783.55 : x
  2. Step 2: Convert to fraction form
    6,166.21/9,250.76 = 1,783.55/x
  3. Step 3: Cross multiply
    6,166.21x = 9,250.76 × 1,783.55
  4. Step 4: Simplify right side
    6,166.21x = 16,499,210.55
  5. Step 5: Solve for x
    x = 16,499,210.55/6,166.21
  6. Step 6: Final answer
    x = 2,675.75

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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.