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Finding the Fourth Proportional to 6,543.38, 9,026.35 and 4,550.47

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Solution

The fourth proportional to 6,543.38, 9,026.35 and 4,550.47 is: 6,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.38 : 9,026.35 = 4,550.47 : x
  2. Step 2: Convert to fraction form
    6,543.38/9,026.35 = 4,550.47/x
  3. Step 3: Cross multiply
    6,543.38x = 9,026.35 × 4,550.47
  4. Step 4: Simplify right side
    6,543.38x = 41,074,100.94
  5. Step 5: Solve for x
    x = 41,074,100.94/6,543.38
  6. Step 6: Final answer
    x = 6,277.20

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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.