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Finding the Fourth Proportional to 9,830.96, 14,745.48 and 2,811.44

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Solution

The fourth proportional to 9,830.96, 14,745.48 and 2,811.44 is: 4,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.96 : 14,745.48 = 2,811.44 : x
  2. Step 2: Convert to fraction form
    9,830.96/14,745.48 = 2,811.44/x
  3. Step 3: Cross multiply
    9,830.96x = 14,745.48 × 2,811.44
  4. Step 4: Simplify right side
    9,830.96x = 41,456,032.29
  5. Step 5: Solve for x
    x = 41,456,032.29/9,830.96
  6. Step 6: Final answer
    x = 4,216.89

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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.