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Finding the Fourth Proportional to 12,310.13, 16,982.49 and 7,270.91

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Solution

The fourth proportional to 12,310.13, 16,982.49 and 7,270.91 is: 10,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.13 : 16,982.49 = 7,270.91 : x
  2. Step 2: Convert to fraction form
    12,310.13/16,982.49 = 7,270.91/x
  3. Step 3: Cross multiply
    12,310.13x = 16,982.49 × 7,270.91
  4. Step 4: Simplify right side
    12,310.13x = 123,478,071.45
  5. Step 5: Solve for x
    x = 123,478,071.45/12,310.13
  6. Step 6: Final answer
    x = 10,030.61

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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.