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Finding the Fourth Proportional to 14,745.21, 22,093.14 and 6,412.74

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Solution

The fourth proportional to 14,745.21, 22,093.14 and 6,412.74 is: 9,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.21 : 22,093.14 = 6,412.74 : x
  2. Step 2: Convert to fraction form
    14,745.21/22,093.14 = 6,412.74/x
  3. Step 3: Cross multiply
    14,745.21x = 22,093.14 × 6,412.74
  4. Step 4: Simplify right side
    14,745.21x = 141,677,562.60
  5. Step 5: Solve for x
    x = 141,677,562.60/14,745.21
  6. Step 6: Final answer
    x = 9,608.38

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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.