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Finding the Fourth Proportional to 6,535.17, 9,802.79 and 1,604.81

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Solution

The fourth proportional to 6,535.17, 9,802.79 and 1,604.81 is: 2,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.17 : 9,802.79 = 1,604.81 : x
  2. Step 2: Convert to fraction form
    6,535.17/9,802.79 = 1,604.81/x
  3. Step 3: Cross multiply
    6,535.17x = 9,802.79 × 1,604.81
  4. Step 4: Simplify right side
    6,535.17x = 15,731,615.55
  5. Step 5: Solve for x
    x = 15,731,615.55/6,535.17
  6. Step 6: Final answer
    x = 2,407.22

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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.