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Finding the Fourth Proportional to 7,573.64, 10,451.54 and 4,216.38

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Solution

The fourth proportional to 7,573.64, 10,451.54 and 4,216.38 is: 5,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.64 : 10,451.54 = 4,216.38 : x
  2. Step 2: Convert to fraction form
    7,573.64/10,451.54 = 4,216.38/x
  3. Step 3: Cross multiply
    7,573.64x = 10,451.54 × 4,216.38
  4. Step 4: Simplify right side
    7,573.64x = 44,067,664.23
  5. Step 5: Solve for x
    x = 44,067,664.23/7,573.64
  6. Step 6: Final answer
    x = 5,818.56

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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.