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Finding the Fourth Proportional to 6,536.71, 9,806.28 and 2,154.48

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Solution

The fourth proportional to 6,536.71, 9,806.28 and 2,154.48 is: 3,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.71 : 9,806.28 = 2,154.48 : x
  2. Step 2: Convert to fraction form
    6,536.71/9,806.28 = 2,154.48/x
  3. Step 3: Cross multiply
    6,536.71x = 9,806.28 × 2,154.48
  4. Step 4: Simplify right side
    6,536.71x = 21,127,385.10
  5. Step 5: Solve for x
    x = 21,127,385.10/6,536.71
  6. Step 6: Final answer
    x = 3,232.11

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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.