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Finding the Fourth Proportional to 10,411.14, 14,369.14 and 8,189.94

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Solution

The fourth proportional to 10,411.14, 14,369.14 and 8,189.94 is: 11,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.14 : 14,369.14 = 8,189.94 : x
  2. Step 2: Convert to fraction form
    10,411.14/14,369.14 = 8,189.94/x
  3. Step 3: Cross multiply
    10,411.14x = 14,369.14 × 8,189.94
  4. Step 4: Simplify right side
    10,411.14x = 117,682,394.45
  5. Step 5: Solve for x
    x = 117,682,394.45/10,411.14
  6. Step 6: Final answer
    x = 11,303.51

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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.