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Finding the Fourth Proportional to 6,364.94, 9,548.77 and 1,922.94

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Solution

The fourth proportional to 6,364.94, 9,548.77 and 1,922.94 is: 2,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.94 : 9,548.77 = 1,922.94 : x
  2. Step 2: Convert to fraction form
    6,364.94/9,548.77 = 1,922.94/x
  3. Step 3: Cross multiply
    6,364.94x = 9,548.77 × 1,922.94
  4. Step 4: Simplify right side
    6,364.94x = 18,361,702.17
  5. Step 5: Solve for x
    x = 18,361,702.17/6,364.94
  6. Step 6: Final answer
    x = 2,884.82

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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.