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Finding the Fourth Proportional to 8,094.56, 12,142.92 and 2,830.64

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Solution

The fourth proportional to 8,094.56, 12,142.92 and 2,830.64 is: 4,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.56 : 12,142.92 = 2,830.64 : x
  2. Step 2: Convert to fraction form
    8,094.56/12,142.92 = 2,830.64/x
  3. Step 3: Cross multiply
    8,094.56x = 12,142.92 × 2,830.64
  4. Step 4: Simplify right side
    8,094.56x = 34,372,235.07
  5. Step 5: Solve for x
    x = 34,372,235.07/8,094.56
  6. Step 6: Final answer
    x = 4,246.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.