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Finding the Fourth Proportional to 8,605.23, 12,906.49 and 2,365.71

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Solution

The fourth proportional to 8,605.23, 12,906.49 and 2,365.71 is: 3,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.23 : 12,906.49 = 2,365.71 : x
  2. Step 2: Convert to fraction form
    8,605.23/12,906.49 = 2,365.71/x
  3. Step 3: Cross multiply
    8,605.23x = 12,906.49 × 2,365.71
  4. Step 4: Simplify right side
    8,605.23x = 30,533,012.46
  5. Step 5: Solve for x
    x = 30,533,012.46/8,605.23
  6. Step 6: Final answer
    x = 3,548.19

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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.