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Finding the Fourth Proportional to 9,775.22, 14,661.67 and 2,755.76

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Solution

The fourth proportional to 9,775.22, 14,661.67 and 2,755.76 is: 4,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.22 : 14,661.67 = 2,755.76 : x
  2. Step 2: Convert to fraction form
    9,775.22/14,661.67 = 2,755.76/x
  3. Step 3: Cross multiply
    9,775.22x = 14,661.67 × 2,755.76
  4. Step 4: Simplify right side
    9,775.22x = 40,404,043.72
  5. Step 5: Solve for x
    x = 40,404,043.72/9,775.22
  6. Step 6: Final answer
    x = 4,133.31

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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.