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Finding the Fourth Proportional to 9,745.86, 14,619.15 and 2,820.90

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Solution

The fourth proportional to 9,745.86, 14,619.15 and 2,820.90 is: 4,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.86 : 14,619.15 = 2,820.90 : x
  2. Step 2: Convert to fraction form
    9,745.86/14,619.15 = 2,820.90/x
  3. Step 3: Cross multiply
    9,745.86x = 14,619.15 × 2,820.90
  4. Step 4: Simplify right side
    9,745.86x = 41,239,160.24
  5. Step 5: Solve for x
    x = 41,239,160.24/9,745.86
  6. Step 6: Final answer
    x = 4,231.45

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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.