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Finding the Fourth Proportional to 6,169, 9,250.76 and 1,785.44

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Solution

The fourth proportional to 6,169, 9,250.76 and 1,785.44 is: 2,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169 : 9,250.76 = 1,785.44 : x
  2. Step 2: Convert to fraction form
    6,169/9,250.76 = 1,785.44/x
  3. Step 3: Cross multiply
    6,169x = 9,250.76 × 1,785.44
  4. Step 4: Simplify right side
    6,169x = 16,516,676.93
  5. Step 5: Solve for x
    x = 16,516,676.93/6,169
  6. Step 6: Final answer
    x = 2,677.37

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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.