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Finding the Fourth Proportional to 6,187.60, 9,282 and 1,804.96

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Solution

The fourth proportional to 6,187.60, 9,282 and 1,804.96 is: 2,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.60 : 9,282 = 1,804.96 : x
  2. Step 2: Convert to fraction form
    6,187.60/9,282 = 1,804.96/x
  3. Step 3: Cross multiply
    6,187.60x = 9,282 × 1,804.96
  4. Step 4: Simplify right side
    6,187.60x = 16,753,638.72
  5. Step 5: Solve for x
    x = 16,753,638.72/6,187.60
  6. Step 6: Final answer
    x = 2,707.62

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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.