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Finding the Fourth Proportional to 6,512.94, 8,992.31 and 4,158.27

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Solution

The fourth proportional to 6,512.94, 8,992.31 and 4,158.27 is: 5,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.94 : 8,992.31 = 4,158.27 : x
  2. Step 2: Convert to fraction form
    6,512.94/8,992.31 = 4,158.27/x
  3. Step 3: Cross multiply
    6,512.94x = 8,992.31 × 4,158.27
  4. Step 4: Simplify right side
    6,512.94x = 37,392,432.11
  5. Step 5: Solve for x
    x = 37,392,432.11/6,512.94
  6. Step 6: Final answer
    x = 5,741.25

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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.