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Finding the Fourth Proportional to 6,583.97, 9,086.10 and 4,066.02

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Solution

The fourth proportional to 6,583.97, 9,086.10 and 4,066.02 is: 5,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.97 : 9,086.10 = 4,066.02 : x
  2. Step 2: Convert to fraction form
    6,583.97/9,086.10 = 4,066.02/x
  3. Step 3: Cross multiply
    6,583.97x = 9,086.10 × 4,066.02
  4. Step 4: Simplify right side
    6,583.97x = 36,944,264.32
  5. Step 5: Solve for x
    x = 36,944,264.32/6,583.97
  6. Step 6: Final answer
    x = 5,611.24

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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.