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Finding the Fourth Proportional to 11,143.65, 16,736.31 and 9,809.93

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Solution

The fourth proportional to 11,143.65, 16,736.31 and 9,809.93 is: 14,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.65 : 16,736.31 = 9,809.93 : x
  2. Step 2: Convert to fraction form
    11,143.65/16,736.31 = 9,809.93/x
  3. Step 3: Cross multiply
    11,143.65x = 16,736.31 × 9,809.93
  4. Step 4: Simplify right side
    11,143.65x = 164,181,896.83
  5. Step 5: Solve for x
    x = 164,181,896.83/11,143.65
  6. Step 6: Final answer
    x = 14,733.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.