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Finding the Fourth Proportional to 11,604.21, 16,011.15 and 7,834.38

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Solution

The fourth proportional to 11,604.21, 16,011.15 and 7,834.38 is: 10,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.21 : 16,011.15 = 7,834.38 : x
  2. Step 2: Convert to fraction form
    11,604.21/16,011.15 = 7,834.38/x
  3. Step 3: Cross multiply
    11,604.21x = 16,011.15 × 7,834.38
  4. Step 4: Simplify right side
    11,604.21x = 125,437,433.34
  5. Step 5: Solve for x
    x = 125,437,433.34/11,604.21
  6. Step 6: Final answer
    x = 10,809.65

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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.