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Finding the Fourth Proportional to 8,425.69, 12,640.97 and 2,583.16

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Solution

The fourth proportional to 8,425.69, 12,640.97 and 2,583.16 is: 3,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.69 : 12,640.97 = 2,583.16 : x
  2. Step 2: Convert to fraction form
    8,425.69/12,640.97 = 2,583.16/x
  3. Step 3: Cross multiply
    8,425.69x = 12,640.97 × 2,583.16
  4. Step 4: Simplify right side
    8,425.69x = 32,653,648.07
  5. Step 5: Solve for x
    x = 32,653,648.07/8,425.69
  6. Step 6: Final answer
    x = 3,875.49

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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.