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Finding the Fourth Proportional to 11,843.54, 16,338.51 and 7,060.77

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Solution

The fourth proportional to 11,843.54, 16,338.51 and 7,060.77 is: 9,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.54 : 16,338.51 = 7,060.77 : x
  2. Step 2: Convert to fraction form
    11,843.54/16,338.51 = 7,060.77/x
  3. Step 3: Cross multiply
    11,843.54x = 16,338.51 × 7,060.77
  4. Step 4: Simplify right side
    11,843.54x = 115,362,461.25
  5. Step 5: Solve for x
    x = 115,362,461.25/11,843.54
  6. Step 6: Final answer
    x = 9,740.54

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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.