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Finding the Fourth Proportional to 10,081.71, 13,914.48 and 5,835.38

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Solution

The fourth proportional to 10,081.71, 13,914.48 and 5,835.38 is: 8,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.71 : 13,914.48 = 5,835.38 : x
  2. Step 2: Convert to fraction form
    10,081.71/13,914.48 = 5,835.38/x
  3. Step 3: Cross multiply
    10,081.71x = 13,914.48 × 5,835.38
  4. Step 4: Simplify right side
    10,081.71x = 81,196,197.79
  5. Step 5: Solve for x
    x = 81,196,197.79/10,081.71
  6. Step 6: Final answer
    x = 8,053.81

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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.