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Finding the Fourth Proportional to 6,938.44, 9,575.07 and 4,420.01

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Solution

The fourth proportional to 6,938.44, 9,575.07 and 4,420.01 is: 6,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.44 : 9,575.07 = 4,420.01 : x
  2. Step 2: Convert to fraction form
    6,938.44/9,575.07 = 4,420.01/x
  3. Step 3: Cross multiply
    6,938.44x = 9,575.07 × 4,420.01
  4. Step 4: Simplify right side
    6,938.44x = 42,321,905.15
  5. Step 5: Solve for x
    x = 42,321,905.15/6,938.44
  6. Step 6: Final answer
    x = 6,099.63

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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.