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Finding the Fourth Proportional to 6,555.48, 9,824.58 and 2,657.76

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Solution

The fourth proportional to 6,555.48, 9,824.58 and 2,657.76 is: 3,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.48 : 9,824.58 = 2,657.76 : x
  2. Step 2: Convert to fraction form
    6,555.48/9,824.58 = 2,657.76/x
  3. Step 3: Cross multiply
    6,555.48x = 9,824.58 × 2,657.76
  4. Step 4: Simplify right side
    6,555.48x = 26,111,375.74
  5. Step 5: Solve for x
    x = 26,111,375.74/6,555.48
  6. Step 6: Final answer
    x = 3,983.14

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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.