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Finding the Fourth Proportional to 9,974.56, 13,762.56 and 5,995.84

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Solution

The fourth proportional to 9,974.56, 13,762.56 and 5,995.84 is: 8,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.56 : 13,762.56 = 5,995.84 : x
  2. Step 2: Convert to fraction form
    9,974.56/13,762.56 = 5,995.84/x
  3. Step 3: Cross multiply
    9,974.56x = 13,762.56 × 5,995.84
  4. Step 4: Simplify right side
    9,974.56x = 82,518,107.75
  5. Step 5: Solve for x
    x = 82,518,107.75/9,974.56
  6. Step 6: Final answer
    x = 8,272.86

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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.