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Finding the Fourth Proportional to 6,269.50, 9,403.16 and 1,885.78

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Solution

The fourth proportional to 6,269.50, 9,403.16 and 1,885.78 is: 2,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.50 : 9,403.16 = 1,885.78 : x
  2. Step 2: Convert to fraction form
    6,269.50/9,403.16 = 1,885.78/x
  3. Step 3: Cross multiply
    6,269.50x = 9,403.16 × 1,885.78
  4. Step 4: Simplify right side
    6,269.50x = 17,732,248.76
  5. Step 5: Solve for x
    x = 17,732,248.76/6,269.50
  6. Step 6: Final answer
    x = 2,828.34

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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.