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Finding the Fourth Proportional to 6,625.40, 9,923.70 and 3,543.80

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Solution

The fourth proportional to 6,625.40, 9,923.70 and 3,543.80 is: 5,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.40 : 9,923.70 = 3,543.80 : x
  2. Step 2: Convert to fraction form
    6,625.40/9,923.70 = 3,543.80/x
  3. Step 3: Cross multiply
    6,625.40x = 9,923.70 × 3,543.80
  4. Step 4: Simplify right side
    6,625.40x = 35,167,608.06
  5. Step 5: Solve for x
    x = 35,167,608.06/6,625.40
  6. Step 6: Final answer
    x = 5,308.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.