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Finding the Fourth Proportional to 6,123.94, 9,185.74 and 1,964.23

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Solution

The fourth proportional to 6,123.94, 9,185.74 and 1,964.23 is: 2,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.94 : 9,185.74 = 1,964.23 : x
  2. Step 2: Convert to fraction form
    6,123.94/9,185.74 = 1,964.23/x
  3. Step 3: Cross multiply
    6,123.94x = 9,185.74 × 1,964.23
  4. Step 4: Simplify right side
    6,123.94x = 18,042,878.21
  5. Step 5: Solve for x
    x = 18,042,878.21/6,123.94
  6. Step 6: Final answer
    x = 2,946.29

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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.