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Finding the Fourth Proportional to 7,091, 10,636.50 and 1,896.76

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Solution

The fourth proportional to 7,091, 10,636.50 and 1,896.76 is: 2,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091 : 10,636.50 = 1,896.76 : x
  2. Step 2: Convert to fraction form
    7,091/10,636.50 = 1,896.76/x
  3. Step 3: Cross multiply
    7,091x = 10,636.50 × 1,896.76
  4. Step 4: Simplify right side
    7,091x = 20,174,887.74
  5. Step 5: Solve for x
    x = 20,174,887.74/7,091
  6. Step 6: Final answer
    x = 2,845.14

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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.