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Finding the Fourth Proportional to 7,846.88, 10,824.67 and 5,011.27

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Solution

The fourth proportional to 7,846.88, 10,824.67 and 5,011.27 is: 6,912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.88 : 10,824.67 = 5,011.27 : x
  2. Step 2: Convert to fraction form
    7,846.88/10,824.67 = 5,011.27/x
  3. Step 3: Cross multiply
    7,846.88x = 10,824.67 × 5,011.27
  4. Step 4: Simplify right side
    7,846.88x = 54,245,264.85
  5. Step 5: Solve for x
    x = 54,245,264.85/7,846.88
  6. Step 6: Final answer
    x = 6,912.98

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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.