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Finding the Fourth Proportional to 4,611.95, 6,913.77 and 1,689.57

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Solution

The fourth proportional to 4,611.95, 6,913.77 and 1,689.57 is: 2,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.95 : 6,913.77 = 1,689.57 : x
  2. Step 2: Convert to fraction form
    4,611.95/6,913.77 = 1,689.57/x
  3. Step 3: Cross multiply
    4,611.95x = 6,913.77 × 1,689.57
  4. Step 4: Simplify right side
    4,611.95x = 11,681,292.04
  5. Step 5: Solve for x
    x = 11,681,292.04/4,611.95
  6. Step 6: Final answer
    x = 2,532.83

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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.