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Finding the Fourth Proportional to 8,541.88, 12,858.12 and 6,093.64

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Solution

The fourth proportional to 8,541.88, 12,858.12 and 6,093.64 is: 9,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.88 : 12,858.12 = 6,093.64 : x
  2. Step 2: Convert to fraction form
    8,541.88/12,858.12 = 6,093.64/x
  3. Step 3: Cross multiply
    8,541.88x = 12,858.12 × 6,093.64
  4. Step 4: Simplify right side
    8,541.88x = 78,352,754.36
  5. Step 5: Solve for x
    x = 78,352,754.36/8,541.88
  6. Step 6: Final answer
    x = 9,172.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.