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Finding the Fourth Proportional to 8,564.54, 12,846.80 and 3,633.46

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Solution

The fourth proportional to 8,564.54, 12,846.80 and 3,633.46 is: 5,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.54 : 12,846.80 = 3,633.46 : x
  2. Step 2: Convert to fraction form
    8,564.54/12,846.80 = 3,633.46/x
  3. Step 3: Cross multiply
    8,564.54x = 12,846.80 × 3,633.46
  4. Step 4: Simplify right side
    8,564.54x = 46,678,310.89
  5. Step 5: Solve for x
    x = 46,678,310.89/8,564.54
  6. Step 6: Final answer
    x = 5,450.19

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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.