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Finding the Fourth Proportional to 7,773.44, 11,661.32 and 2,506.72

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Solution

The fourth proportional to 7,773.44, 11,661.32 and 2,506.72 is: 3,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.44 : 11,661.32 = 2,506.72 : x
  2. Step 2: Convert to fraction form
    7,773.44/11,661.32 = 2,506.72/x
  3. Step 3: Cross multiply
    7,773.44x = 11,661.32 × 2,506.72
  4. Step 4: Simplify right side
    7,773.44x = 29,231,664.07
  5. Step 5: Solve for x
    x = 29,231,664.07/7,773.44
  6. Step 6: Final answer
    x = 3,760.45

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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.