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Finding the Fourth Proportional to 6,574.07, 9,071.97 and 3,589.88

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Solution

The fourth proportional to 6,574.07, 9,071.97 and 3,589.88 is: 4,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.07 : 9,071.97 = 3,589.88 : x
  2. Step 2: Convert to fraction form
    6,574.07/9,071.97 = 3,589.88/x
  3. Step 3: Cross multiply
    6,574.07x = 9,071.97 × 3,589.88
  4. Step 4: Simplify right side
    6,574.07x = 32,567,283.66
  5. Step 5: Solve for x
    x = 32,567,283.66/6,574.07
  6. Step 6: Final answer
    x = 4,953.90

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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.