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Finding the Fourth Proportional to 7,774.44, 11,661.31 and 3,094.26

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Solution

The fourth proportional to 7,774.44, 11,661.31 and 3,094.26 is: 4,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.44 : 11,661.31 = 3,094.26 : x
  2. Step 2: Convert to fraction form
    7,774.44/11,661.31 = 3,094.26/x
  3. Step 3: Cross multiply
    7,774.44x = 11,661.31 × 3,094.26
  4. Step 4: Simplify right side
    7,774.44x = 36,083,125.08
  5. Step 5: Solve for x
    x = 36,083,125.08/7,774.44
  6. Step 6: Final answer
    x = 4,641.25

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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.