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Finding the Fourth Proportional to 14,732.96, 22,103.49 and 6,828.98

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Solution

The fourth proportional to 14,732.96, 22,103.49 and 6,828.98 is: 10,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.96 : 22,103.49 = 6,828.98 : x
  2. Step 2: Convert to fraction form
    14,732.96/22,103.49 = 6,828.98/x
  3. Step 3: Cross multiply
    14,732.96x = 22,103.49 × 6,828.98
  4. Step 4: Simplify right side
    14,732.96x = 150,944,291.14
  5. Step 5: Solve for x
    x = 150,944,291.14/14,732.96
  6. Step 6: Final answer
    x = 10,245.35

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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.