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Finding the Fourth Proportional to 7,774.23, 11,661.23 and 1,930.89

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Solution

The fourth proportional to 7,774.23, 11,661.23 and 1,930.89 is: 2,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.23 : 11,661.23 = 1,930.89 : x
  2. Step 2: Convert to fraction form
    7,774.23/11,661.23 = 1,930.89/x
  3. Step 3: Cross multiply
    7,774.23x = 11,661.23 × 1,930.89
  4. Step 4: Simplify right side
    7,774.23x = 22,516,542.74
  5. Step 5: Solve for x
    x = 22,516,542.74/7,774.23
  6. Step 6: Final answer
    x = 2,896.31

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1.5x scale

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.