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Finding the Fourth Proportional to 7,604.97, 10,489.68 and 6,116.33

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Solution

The fourth proportional to 7,604.97, 10,489.68 and 6,116.33 is: 8,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.97 : 10,489.68 = 6,116.33 : x
  2. Step 2: Convert to fraction form
    7,604.97/10,489.68 = 6,116.33/x
  3. Step 3: Cross multiply
    7,604.97x = 10,489.68 × 6,116.33
  4. Step 4: Simplify right side
    7,604.97x = 64,158,292.03
  5. Step 5: Solve for x
    x = 64,158,292.03/7,604.97
  6. Step 6: Final answer
    x = 8,436.36

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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.