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Finding the Fourth Proportional to 6,292, 9,437.68 and 1,909.44

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Solution

The fourth proportional to 6,292, 9,437.68 and 1,909.44 is: 2,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292 : 9,437.68 = 1,909.44 : x
  2. Step 2: Convert to fraction form
    6,292/9,437.68 = 1,909.44/x
  3. Step 3: Cross multiply
    6,292x = 9,437.68 × 1,909.44
  4. Step 4: Simplify right side
    6,292x = 18,020,683.70
  5. Step 5: Solve for x
    x = 18,020,683.70/6,292
  6. Step 6: Final answer
    x = 2,864.06

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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.