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Finding the Fourth Proportional to 6,166.56, 9,248.45 and 1,783.05

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Solution

The fourth proportional to 6,166.56, 9,248.45 and 1,783.05 is: 2,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.56 : 9,248.45 = 1,783.05 : x
  2. Step 2: Convert to fraction form
    6,166.56/9,248.45 = 1,783.05/x
  3. Step 3: Cross multiply
    6,166.56x = 9,248.45 × 1,783.05
  4. Step 4: Simplify right side
    6,166.56x = 16,490,439.86
  5. Step 5: Solve for x
    x = 16,490,439.86/6,166.56
  6. Step 6: Final answer
    x = 2,674.17

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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.