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Finding the Fourth Proportional to 14,093.29, 19,448.76 and 7,805.71

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Solution

The fourth proportional to 14,093.29, 19,448.76 and 7,805.71 is: 10,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.29 : 19,448.76 = 7,805.71 : x
  2. Step 2: Convert to fraction form
    14,093.29/19,448.76 = 7,805.71/x
  3. Step 3: Cross multiply
    14,093.29x = 19,448.76 × 7,805.71
  4. Step 4: Simplify right side
    14,093.29x = 151,811,380.42
  5. Step 5: Solve for x
    x = 151,811,380.42/14,093.29
  6. Step 6: Final answer
    x = 10,771.89

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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.