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Finding the Fourth Proportional to 10,813.76, 16,220.62 and 2,605.76

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Solution

The fourth proportional to 10,813.76, 16,220.62 and 2,605.76 is: 3,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.76 : 16,220.62 = 2,605.76 : x
  2. Step 2: Convert to fraction form
    10,813.76/16,220.62 = 2,605.76/x
  3. Step 3: Cross multiply
    10,813.76x = 16,220.62 × 2,605.76
  4. Step 4: Simplify right side
    10,813.76x = 42,267,042.77
  5. Step 5: Solve for x
    x = 42,267,042.77/10,813.76
  6. Step 6: Final answer
    x = 3,908.64

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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.