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Finding the Fourth Proportional to 11,640.75, 16,062.10 and 7,606.51

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Solution

The fourth proportional to 11,640.75, 16,062.10 and 7,606.51 is: 10,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.75 : 16,062.10 = 7,606.51 : x
  2. Step 2: Convert to fraction form
    11,640.75/16,062.10 = 7,606.51/x
  3. Step 3: Cross multiply
    11,640.75x = 16,062.10 × 7,606.51
  4. Step 4: Simplify right side
    11,640.75x = 122,176,524.27
  5. Step 5: Solve for x
    x = 122,176,524.27/11,640.75
  6. Step 6: Final answer
    x = 10,495.59

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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.