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Finding the Fourth Proportional to 7,926, 10,937.88 and 4,614

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Solution

The fourth proportional to 7,926, 10,937.88 and 4,614 is: 6,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926 : 10,937.88 = 4,614 : x
  2. Step 2: Convert to fraction form
    7,926/10,937.88 = 4,614/x
  3. Step 3: Cross multiply
    7,926x = 10,937.88 × 4,614
  4. Step 4: Simplify right side
    7,926x = 50,467,378.32
  5. Step 5: Solve for x
    x = 50,467,378.32/7,926
  6. Step 6: Final answer
    x = 6,367.32

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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.