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Finding the Fourth Proportional to 6,536.84, 9,806.48 and 2,154.47

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Solution

The fourth proportional to 6,536.84, 9,806.48 and 2,154.47 is: 3,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.84 : 9,806.48 = 2,154.47 : x
  2. Step 2: Convert to fraction form
    6,536.84/9,806.48 = 2,154.47/x
  3. Step 3: Cross multiply
    6,536.84x = 9,806.48 × 2,154.47
  4. Step 4: Simplify right side
    6,536.84x = 21,127,707.16
  5. Step 5: Solve for x
    x = 21,127,707.16/6,536.84
  6. Step 6: Final answer
    x = 3,232.10

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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.