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Finding the Fourth Proportional to 6,657.67, 9,991.37 and 2,501.76

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Solution

The fourth proportional to 6,657.67, 9,991.37 and 2,501.76 is: 3,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.67 : 9,991.37 = 2,501.76 : x
  2. Step 2: Convert to fraction form
    6,657.67/9,991.37 = 2,501.76/x
  3. Step 3: Cross multiply
    6,657.67x = 9,991.37 × 2,501.76
  4. Step 4: Simplify right side
    6,657.67x = 24,996,009.81
  5. Step 5: Solve for x
    x = 24,996,009.81/6,657.67
  6. Step 6: Final answer
    x = 3,754.47

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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.