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Finding the Fourth Proportional to 6,776.64, 10,157.76 and 3,264.46

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Solution

The fourth proportional to 6,776.64, 10,157.76 and 3,264.46 is: 4,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.64 : 10,157.76 = 3,264.46 : x
  2. Step 2: Convert to fraction form
    6,776.64/10,157.76 = 3,264.46/x
  3. Step 3: Cross multiply
    6,776.64x = 10,157.76 × 3,264.46
  4. Step 4: Simplify right side
    6,776.64x = 33,159,575.82
  5. Step 5: Solve for x
    x = 33,159,575.82/6,776.64
  6. Step 6: Final answer
    x = 4,893.22

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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.