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Finding the Fourth Proportional to 7,573.75, 10,452.11 and 4,216.43

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Solution

The fourth proportional to 7,573.75, 10,452.11 and 4,216.43 is: 5,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.75 : 10,452.11 = 4,216.43 : x
  2. Step 2: Convert to fraction form
    7,573.75/10,452.11 = 4,216.43/x
  3. Step 3: Cross multiply
    7,573.75x = 10,452.11 × 4,216.43
  4. Step 4: Simplify right side
    7,573.75x = 44,070,595.22
  5. Step 5: Solve for x
    x = 44,070,595.22/7,573.75
  6. Step 6: Final answer
    x = 5,818.86

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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.