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Finding the Fourth Proportional to 6,528.63, 9,009.57 and 3,544.47

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Solution

The fourth proportional to 6,528.63, 9,009.57 and 3,544.47 is: 4,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.63 : 9,009.57 = 3,544.47 : x
  2. Step 2: Convert to fraction form
    6,528.63/9,009.57 = 3,544.47/x
  3. Step 3: Cross multiply
    6,528.63x = 9,009.57 × 3,544.47
  4. Step 4: Simplify right side
    6,528.63x = 31,934,150.58
  5. Step 5: Solve for x
    x = 31,934,150.58/6,528.63
  6. Step 6: Final answer
    x = 4,891.40

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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.