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Finding the Fourth Proportional to 12,914.16, 19,377.78 and 9,633.84

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Solution

The fourth proportional to 12,914.16, 19,377.78 and 9,633.84 is: 14,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.16 : 19,377.78 = 9,633.84 : x
  2. Step 2: Convert to fraction form
    12,914.16/19,377.78 = 9,633.84/x
  3. Step 3: Cross multiply
    12,914.16x = 19,377.78 × 9,633.84
  4. Step 4: Simplify right side
    12,914.16x = 186,682,432.08
  5. Step 5: Solve for x
    x = 186,682,432.08/12,914.16
  6. Step 6: Final answer
    x = 14,455.64

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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.