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Finding the Fourth Proportional to 8,096.40, 11,169 and 5,443.92

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Solution

The fourth proportional to 8,096.40, 11,169 and 5,443.92 is: 7,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.40 : 11,169 = 5,443.92 : x
  2. Step 2: Convert to fraction form
    8,096.40/11,169 = 5,443.92/x
  3. Step 3: Cross multiply
    8,096.40x = 11,169 × 5,443.92
  4. Step 4: Simplify right side
    8,096.40x = 60,803,142.48
  5. Step 5: Solve for x
    x = 60,803,142.48/8,096.40
  6. Step 6: Final answer
    x = 7,509.90

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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.