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Finding the Fourth Proportional to 12,103.14, 16,698.72 and 7,324.85

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Solution

The fourth proportional to 12,103.14, 16,698.72 and 7,324.85 is: 10,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.14 : 16,698.72 = 7,324.85 : x
  2. Step 2: Convert to fraction form
    12,103.14/16,698.72 = 7,324.85/x
  3. Step 3: Cross multiply
    12,103.14x = 16,698.72 × 7,324.85
  4. Step 4: Simplify right side
    12,103.14x = 122,315,688.41
  5. Step 5: Solve for x
    x = 122,315,688.41/12,103.14
  6. Step 6: Final answer
    x = 10,106.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.