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Finding the Fourth Proportional to 6,541, 9,026.58 and 3,597

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Solution

The fourth proportional to 6,541, 9,026.58 and 3,597 is: 4,963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541 : 9,026.58 = 3,597 : x
  2. Step 2: Convert to fraction form
    6,541/9,026.58 = 3,597/x
  3. Step 3: Cross multiply
    6,541x = 9,026.58 × 3,597
  4. Step 4: Simplify right side
    6,541x = 32,468,608.26
  5. Step 5: Solve for x
    x = 32,468,608.26/6,541
  6. Step 6: Final answer
    x = 4,963.86

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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.