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Finding the Fourth Proportional to 6,597, 9,103.86 and 3,653

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Solution

The fourth proportional to 6,597, 9,103.86 and 3,653 is: 5,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597 : 9,103.86 = 3,653 : x
  2. Step 2: Convert to fraction form
    6,597/9,103.86 = 3,653/x
  3. Step 3: Cross multiply
    6,597x = 9,103.86 × 3,653
  4. Step 4: Simplify right side
    6,597x = 33,256,400.58
  5. Step 5: Solve for x
    x = 33,256,400.58/6,597
  6. Step 6: Final answer
    x = 5,041.14

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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.