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Finding the Fourth Proportional to 6,051.60, 9,077.46 and 1,669.30

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Solution

The fourth proportional to 6,051.60, 9,077.46 and 1,669.30 is: 2,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.60 : 9,077.46 = 1,669.30 : x
  2. Step 2: Convert to fraction form
    6,051.60/9,077.46 = 1,669.30/x
  3. Step 3: Cross multiply
    6,051.60x = 9,077.46 × 1,669.30
  4. Step 4: Simplify right side
    6,051.60x = 15,153,003.98
  5. Step 5: Solve for x
    x = 15,153,003.98/6,051.60
  6. Step 6: Final answer
    x = 2,503.97

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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.