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Finding the Fourth Proportional to 7,573.62, 10,451.49 and 4,216.44

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Solution

The fourth proportional to 7,573.62, 10,451.49 and 4,216.44 is: 5,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.62 : 10,451.49 = 4,216.44 : x
  2. Step 2: Convert to fraction form
    7,573.62/10,451.49 = 4,216.44/x
  3. Step 3: Cross multiply
    7,573.62x = 10,451.49 × 4,216.44
  4. Step 4: Simplify right side
    7,573.62x = 44,068,028.24
  5. Step 5: Solve for x
    x = 44,068,028.24/7,573.62
  6. Step 6: Final answer
    x = 5,818.62

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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.