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Finding the Fourth Proportional to 6,259.84, 9,391 and 1,876.96

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Solution

The fourth proportional to 6,259.84, 9,391 and 1,876.96 is: 2,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.84 : 9,391 = 1,876.96 : x
  2. Step 2: Convert to fraction form
    6,259.84/9,391 = 1,876.96/x
  3. Step 3: Cross multiply
    6,259.84x = 9,391 × 1,876.96
  4. Step 4: Simplify right side
    6,259.84x = 17,626,531.36
  5. Step 5: Solve for x
    x = 17,626,531.36/6,259.84
  6. Step 6: Final answer
    x = 2,815.81

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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.