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Finding the Fourth Proportional to 4,684.88, 6,465.14 and 2,589

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Solution

The fourth proportional to 4,684.88, 6,465.14 and 2,589 is: 3,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.88 : 6,465.14 = 2,589 : x
  2. Step 2: Convert to fraction form
    4,684.88/6,465.14 = 2,589/x
  3. Step 3: Cross multiply
    4,684.88x = 6,465.14 × 2,589
  4. Step 4: Simplify right side
    4,684.88x = 16,738,234.52
  5. Step 5: Solve for x
    x = 16,738,234.52/4,684.88
  6. Step 6: Final answer
    x = 3,572.82

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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.