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Finding the Fourth Proportional to 6,573.88, 9,071.62 and 3,589.14

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Solution

The fourth proportional to 6,573.88, 9,071.62 and 3,589.14 is: 4,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.88 : 9,071.62 = 3,589.14 : x
  2. Step 2: Convert to fraction form
    6,573.88/9,071.62 = 3,589.14/x
  3. Step 3: Cross multiply
    6,573.88x = 9,071.62 × 3,589.14
  4. Step 4: Simplify right side
    6,573.88x = 32,559,305.23
  5. Step 5: Solve for x
    x = 32,559,305.23/6,573.88
  6. Step 6: Final answer
    x = 4,952.83

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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.