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Finding the Fourth Proportional to 8,096.64, 12,122.34 and 4,385.55

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Solution

The fourth proportional to 8,096.64, 12,122.34 and 4,385.55 is: 6,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 12,122.34 = 4,385.55 : x
  2. Step 2: Convert to fraction form
    8,096.64/12,122.34 = 4,385.55/x
  3. Step 3: Cross multiply
    8,096.64x = 12,122.34 × 4,385.55
  4. Step 4: Simplify right side
    8,096.64x = 53,163,128.19
  5. Step 5: Solve for x
    x = 53,163,128.19/8,096.64
  6. Step 6: Final answer
    x = 6,566.07

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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.