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Finding the Fourth Proportional to 4,684.84, 6,465.46 and 2,589

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Solution

The fourth proportional to 4,684.84, 6,465.46 and 2,589 is: 3,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.84 : 6,465.46 = 2,589 : x
  2. Step 2: Convert to fraction form
    4,684.84/6,465.46 = 2,589/x
  3. Step 3: Cross multiply
    4,684.84x = 6,465.46 × 2,589
  4. Step 4: Simplify right side
    4,684.84x = 16,739,075.94
  5. Step 5: Solve for x
    x = 16,739,075.94/4,684.84
  6. Step 6: Final answer
    x = 3,573.03

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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.