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Finding the Fourth Proportional to 6,528.61, 9,009.40 and 3,544.48

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Solution

The fourth proportional to 6,528.61, 9,009.40 and 3,544.48 is: 4,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.61 : 9,009.40 = 3,544.48 : x
  2. Step 2: Convert to fraction form
    6,528.61/9,009.40 = 3,544.48/x
  3. Step 3: Cross multiply
    6,528.61x = 9,009.40 × 3,544.48
  4. Step 4: Simplify right side
    6,528.61x = 31,933,651.77
  5. Step 5: Solve for x
    x = 31,933,651.77/6,528.61
  6. Step 6: Final answer
    x = 4,891.34

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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.