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Finding the Fourth Proportional to 6,751.94, 10,128 and 2,369.42

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Solution

The fourth proportional to 6,751.94, 10,128 and 2,369.42 is: 3,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.94 : 10,128 = 2,369.42 : x
  2. Step 2: Convert to fraction form
    6,751.94/10,128 = 2,369.42/x
  3. Step 3: Cross multiply
    6,751.94x = 10,128 × 2,369.42
  4. Step 4: Simplify right side
    6,751.94x = 23,997,485.76
  5. Step 5: Solve for x
    x = 23,997,485.76/6,751.94
  6. Step 6: Final answer
    x = 3,554.16

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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.