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Finding the Fourth Proportional to 8,576.56, 11,831.16 and 5,782.96

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Solution

The fourth proportional to 8,576.56, 11,831.16 and 5,782.96 is: 7,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.56 : 11,831.16 = 5,782.96 : x
  2. Step 2: Convert to fraction form
    8,576.56/11,831.16 = 5,782.96/x
  3. Step 3: Cross multiply
    8,576.56x = 11,831.16 × 5,782.96
  4. Step 4: Simplify right side
    8,576.56x = 68,419,125.03
  5. Step 5: Solve for x
    x = 68,419,125.03/8,576.56
  6. Step 6: Final answer
    x = 7,977.46

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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.