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Finding the Fourth Proportional to 9,385.74, 14,083.48 and 6,809.94

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Solution

The fourth proportional to 9,385.74, 14,083.48 and 6,809.94 is: 10,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.74 : 14,083.48 = 6,809.94 : x
  2. Step 2: Convert to fraction form
    9,385.74/14,083.48 = 6,809.94/x
  3. Step 3: Cross multiply
    9,385.74x = 14,083.48 × 6,809.94
  4. Step 4: Simplify right side
    9,385.74x = 95,907,653.79
  5. Step 5: Solve for x
    x = 95,907,653.79/9,385.74
  6. Step 6: Final answer
    x = 10,218.44

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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.