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Finding the Fourth Proportional to 8,564.88, 12,846.27 and 2,324.51

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Solution

The fourth proportional to 8,564.88, 12,846.27 and 2,324.51 is: 3,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.88 : 12,846.27 = 2,324.51 : x
  2. Step 2: Convert to fraction form
    8,564.88/12,846.27 = 2,324.51/x
  3. Step 3: Cross multiply
    8,564.88x = 12,846.27 × 2,324.51
  4. Step 4: Simplify right side
    8,564.88x = 29,861,218.85
  5. Step 5: Solve for x
    x = 29,861,218.85/8,564.88
  6. Step 6: Final answer
    x = 3,486.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.