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Finding the Fourth Proportional to 7,642, 11,464.44 and 3,538

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Solution

The fourth proportional to 7,642, 11,464.44 and 3,538 is: 5,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 11,464.44 = 3,538 : x
  2. Step 2: Convert to fraction form
    7,642/11,464.44 = 3,538/x
  3. Step 3: Cross multiply
    7,642x = 11,464.44 × 3,538
  4. Step 4: Simplify right side
    7,642x = 40,561,188.72
  5. Step 5: Solve for x
    x = 40,561,188.72/7,642
  6. Step 6: Final answer
    x = 5,307.67

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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.