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Finding the Fourth Proportional to 12,834.93, 17,720.91 and 8,308.53

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Solution

The fourth proportional to 12,834.93, 17,720.91 and 8,308.53 is: 11,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.93 : 17,720.91 = 8,308.53 : x
  2. Step 2: Convert to fraction form
    12,834.93/17,720.91 = 8,308.53/x
  3. Step 3: Cross multiply
    12,834.93x = 17,720.91 × 8,308.53
  4. Step 4: Simplify right side
    12,834.93x = 147,234,712.36
  5. Step 5: Solve for x
    x = 147,234,712.36/12,834.93
  6. Step 6: Final answer
    x = 11,471.41

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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.