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Finding the Fourth Proportional to 6,094.92, 9,140.49 and 1,933.86

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Solution

The fourth proportional to 6,094.92, 9,140.49 and 1,933.86 is: 2,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.92 : 9,140.49 = 1,933.86 : x
  2. Step 2: Convert to fraction form
    6,094.92/9,140.49 = 1,933.86/x
  3. Step 3: Cross multiply
    6,094.92x = 9,140.49 × 1,933.86
  4. Step 4: Simplify right side
    6,094.92x = 17,676,427.99
  5. Step 5: Solve for x
    x = 17,676,427.99/6,094.92
  6. Step 6: Final answer
    x = 2,900.19

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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.