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Finding the Fourth Proportional to 8,064.42, 11,129.04 and 6,071.28

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Solution

The fourth proportional to 8,064.42, 11,129.04 and 6,071.28 is: 8,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.42 : 11,129.04 = 6,071.28 : x
  2. Step 2: Convert to fraction form
    8,064.42/11,129.04 = 6,071.28/x
  3. Step 3: Cross multiply
    8,064.42x = 11,129.04 × 6,071.28
  4. Step 4: Simplify right side
    8,064.42x = 67,567,517.97
  5. Step 5: Solve for x
    x = 67,567,517.97/8,064.42
  6. Step 6: Final answer
    x = 8,378.47

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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.