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Finding the Fourth Proportional to 6,064.66, 8,369.34 and 3,968.77

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Solution

The fourth proportional to 6,064.66, 8,369.34 and 3,968.77 is: 5,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.66 : 8,369.34 = 3,968.77 : x
  2. Step 2: Convert to fraction form
    6,064.66/8,369.34 = 3,968.77/x
  3. Step 3: Cross multiply
    6,064.66x = 8,369.34 × 3,968.77
  4. Step 4: Simplify right side
    6,064.66x = 33,215,985.51
  5. Step 5: Solve for x
    x = 33,215,985.51/6,064.66
  6. Step 6: Final answer
    x = 5,476.97

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1.5x scale

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.