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Finding the Fourth Proportional to 6,558, 9,050.04 and 3,614

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Solution

The fourth proportional to 6,558, 9,050.04 and 3,614 is: 4,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558 : 9,050.04 = 3,614 : x
  2. Step 2: Convert to fraction form
    6,558/9,050.04 = 3,614/x
  3. Step 3: Cross multiply
    6,558x = 9,050.04 × 3,614
  4. Step 4: Simplify right side
    6,558x = 32,706,844.56
  5. Step 5: Solve for x
    x = 32,706,844.56/6,558
  6. Step 6: Final answer
    x = 4,987.32

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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.