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Finding the Fourth Proportional to 4,616.63, 6,371.07 and 2,520.80

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Solution

The fourth proportional to 4,616.63, 6,371.07 and 2,520.80 is: 3,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.63 : 6,371.07 = 2,520.80 : x
  2. Step 2: Convert to fraction form
    4,616.63/6,371.07 = 2,520.80/x
  3. Step 3: Cross multiply
    4,616.63x = 6,371.07 × 2,520.80
  4. Step 4: Simplify right side
    4,616.63x = 16,060,193.26
  5. Step 5: Solve for x
    x = 16,060,193.26/4,616.63
  6. Step 6: Final answer
    x = 3,478.77

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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.