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Finding the Fourth Proportional to 6,573.61, 9,071.44 and 3,589.46

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Solution

The fourth proportional to 6,573.61, 9,071.44 and 3,589.46 is: 4,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.61 : 9,071.44 = 3,589.46 : x
  2. Step 2: Convert to fraction form
    6,573.61/9,071.44 = 3,589.46/x
  3. Step 3: Cross multiply
    6,573.61x = 9,071.44 × 3,589.46
  4. Step 4: Simplify right side
    6,573.61x = 32,561,571.02
  5. Step 5: Solve for x
    x = 32,561,571.02/6,573.61
  6. Step 6: Final answer
    x = 4,953.38

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Half scale
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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.