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Finding the Fourth Proportional to 11,954.82, 16,505.02 and 7,707.38

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Solution

The fourth proportional to 11,954.82, 16,505.02 and 7,707.38 is: 10,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.82 : 16,505.02 = 7,707.38 : x
  2. Step 2: Convert to fraction form
    11,954.82/16,505.02 = 7,707.38/x
  3. Step 3: Cross multiply
    11,954.82x = 16,505.02 × 7,707.38
  4. Step 4: Simplify right side
    11,954.82x = 127,210,461.05
  5. Step 5: Solve for x
    x = 127,210,461.05/11,954.82
  6. Step 6: Final answer
    x = 10,640.93

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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.