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Finding the Fourth Proportional to 6,000, 9,000.48 and 1,896

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Solution

The fourth proportional to 6,000, 9,000.48 and 1,896 is: 2,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000 : 9,000.48 = 1,896 : x
  2. Step 2: Convert to fraction form
    6,000/9,000.48 = 1,896/x
  3. Step 3: Cross multiply
    6,000x = 9,000.48 × 1,896
  4. Step 4: Simplify right side
    6,000x = 17,064,910.08
  5. Step 5: Solve for x
    x = 17,064,910.08/6,000
  6. Step 6: Final answer
    x = 2,844.15

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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.