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Finding the Fourth Proportional to 6,528.68, 9,009.56 and 3,544.49

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Solution

The fourth proportional to 6,528.68, 9,009.56 and 3,544.49 is: 4,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.68 : 9,009.56 = 3,544.49 : x
  2. Step 2: Convert to fraction form
    6,528.68/9,009.56 = 3,544.49/x
  3. Step 3: Cross multiply
    6,528.68x = 9,009.56 × 3,544.49
  4. Step 4: Simplify right side
    6,528.68x = 31,934,232.55
  5. Step 5: Solve for x
    x = 31,934,232.55/6,528.68
  6. Step 6: Final answer
    x = 4,891.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.