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Finding the Fourth Proportional to 6,431.96, 9,696.14 and 6,003.31

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Solution

The fourth proportional to 6,431.96, 9,696.14 and 6,003.31 is: 9,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.96 : 9,696.14 = 6,003.31 : x
  2. Step 2: Convert to fraction form
    6,431.96/9,696.14 = 6,003.31/x
  3. Step 3: Cross multiply
    6,431.96x = 9,696.14 × 6,003.31
  4. Step 4: Simplify right side
    6,431.96x = 58,208,973.47
  5. Step 5: Solve for x
    x = 58,208,973.47/6,431.96
  6. Step 6: Final answer
    x = 9,049.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.