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Finding the Fourth Proportional to 10,774.74, 16,083.14 and 9,983.19

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Solution

The fourth proportional to 10,774.74, 16,083.14 and 9,983.19 is: 14,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.74 : 16,083.14 = 9,983.19 : x
  2. Step 2: Convert to fraction form
    10,774.74/16,083.14 = 9,983.19/x
  3. Step 3: Cross multiply
    10,774.74x = 16,083.14 × 9,983.19
  4. Step 4: Simplify right side
    10,774.74x = 160,560,992.50
  5. Step 5: Solve for x
    x = 160,560,992.50/10,774.74
  6. Step 6: Final answer
    x = 14,901.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.