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Finding the Fourth Proportional to 11,837.16, 16,324.74 and 7,641

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Solution

The fourth proportional to 11,837.16, 16,324.74 and 7,641 is: 10,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.16 : 16,324.74 = 7,641 : x
  2. Step 2: Convert to fraction form
    11,837.16/16,324.74 = 7,641/x
  3. Step 3: Cross multiply
    11,837.16x = 16,324.74 × 7,641
  4. Step 4: Simplify right side
    11,837.16x = 124,737,338.34
  5. Step 5: Solve for x
    x = 124,737,338.34/11,837.16
  6. Step 6: Final answer
    x = 10,537.78

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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.