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Finding the Fourth Proportional to 8,434, 12,656.76 and 2,962

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Solution

The fourth proportional to 8,434, 12,656.76 and 2,962 is: 4,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 12,656.76 = 2,962 : x
  2. Step 2: Convert to fraction form
    8,434/12,656.76 = 2,962/x
  3. Step 3: Cross multiply
    8,434x = 12,656.76 × 2,962
  4. Step 4: Simplify right side
    8,434x = 37,489,323.12
  5. Step 5: Solve for x
    x = 37,489,323.12/8,434
  6. Step 6: Final answer
    x = 4,445.02

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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.