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Finding the Fourth Proportional to 9,244.70, 12,767 and 5,889.03

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Solution

The fourth proportional to 9,244.70, 12,767 and 5,889.03 is: 8,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.70 : 12,767 = 5,889.03 : x
  2. Step 2: Convert to fraction form
    9,244.70/12,767 = 5,889.03/x
  3. Step 3: Cross multiply
    9,244.70x = 12,767 × 5,889.03
  4. Step 4: Simplify right side
    9,244.70x = 75,185,246.01
  5. Step 5: Solve for x
    x = 75,185,246.01/9,244.70
  6. Step 6: Final answer
    x = 8,132.79

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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.