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Finding the Fourth Proportional to 6,994.29, 9,645.29 and 4,475.48

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Solution

The fourth proportional to 6,994.29, 9,645.29 and 4,475.48 is: 6,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.29 : 9,645.29 = 4,475.48 : x
  2. Step 2: Convert to fraction form
    6,994.29/9,645.29 = 4,475.48/x
  3. Step 3: Cross multiply
    6,994.29x = 9,645.29 × 4,475.48
  4. Step 4: Simplify right side
    6,994.29x = 43,167,304.23
  5. Step 5: Solve for x
    x = 43,167,304.23/6,994.29
  6. Step 6: Final answer
    x = 6,171.79

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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.