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Finding the Fourth Proportional to 6,961, 10,444.84 and 3,064.88

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Solution

The fourth proportional to 6,961, 10,444.84 and 3,064.88 is: 4,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961 : 10,444.84 = 3,064.88 : x
  2. Step 2: Convert to fraction form
    6,961/10,444.84 = 3,064.88/x
  3. Step 3: Cross multiply
    6,961x = 10,444.84 × 3,064.88
  4. Step 4: Simplify right side
    6,961x = 32,012,181.22
  5. Step 5: Solve for x
    x = 32,012,181.22/6,961
  6. Step 6: Final answer
    x = 4,598.79

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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.