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Finding the Fourth Proportional to 9,381.74, 14,077.47 and 6,805.94

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Solution

The fourth proportional to 9,381.74, 14,077.47 and 6,805.94 is: 10,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.74 : 14,077.47 = 6,805.94 : x
  2. Step 2: Convert to fraction form
    9,381.74/14,077.47 = 6,805.94/x
  3. Step 3: Cross multiply
    9,381.74x = 14,077.47 × 6,805.94
  4. Step 4: Simplify right side
    9,381.74x = 95,810,416.17
  5. Step 5: Solve for x
    x = 95,810,416.17/9,381.74
  6. Step 6: Final answer
    x = 10,212.44

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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.