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Finding the Fourth Proportional to 11,752.95, 17,635.49 and 7,806.94

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Solution

The fourth proportional to 11,752.95, 17,635.49 and 7,806.94 is: 11,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.95 : 17,635.49 = 7,806.94 : x
  2. Step 2: Convert to fraction form
    11,752.95/17,635.49 = 7,806.94/x
  3. Step 3: Cross multiply
    11,752.95x = 17,635.49 × 7,806.94
  4. Step 4: Simplify right side
    11,752.95x = 137,679,212.30
  5. Step 5: Solve for x
    x = 137,679,212.30/11,752.95
  6. Step 6: Final answer
    x = 11,714.44

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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.