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Finding the Fourth Proportional to 9,740.94, 13,443.50 and 5,966.61

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Solution

The fourth proportional to 9,740.94, 13,443.50 and 5,966.61 is: 8,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.94 : 13,443.50 = 5,966.61 : x
  2. Step 2: Convert to fraction form
    9,740.94/13,443.50 = 5,966.61/x
  3. Step 3: Cross multiply
    9,740.94x = 13,443.50 × 5,966.61
  4. Step 4: Simplify right side
    9,740.94x = 80,212,121.54
  5. Step 5: Solve for x
    x = 80,212,121.54/9,740.94
  6. Step 6: Final answer
    x = 8,234.54

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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.