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Finding the Fourth Proportional to 10,604.34, 15,906.81 and 2,813.16

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Solution

The fourth proportional to 10,604.34, 15,906.81 and 2,813.16 is: 4,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.34 : 15,906.81 = 2,813.16 : x
  2. Step 2: Convert to fraction form
    10,604.34/15,906.81 = 2,813.16/x
  3. Step 3: Cross multiply
    10,604.34x = 15,906.81 × 2,813.16
  4. Step 4: Simplify right side
    10,604.34x = 44,748,401.62
  5. Step 5: Solve for x
    x = 44,748,401.62/10,604.34
  6. Step 6: Final answer
    x = 4,219.82

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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.