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Finding the Fourth Proportional to 14,484.01, 21,734.22 and 7,820.41

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Solution

The fourth proportional to 14,484.01, 21,734.22 and 7,820.41 is: 11,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.01 : 21,734.22 = 7,820.41 : x
  2. Step 2: Convert to fraction form
    14,484.01/21,734.22 = 7,820.41/x
  3. Step 3: Cross multiply
    14,484.01x = 21,734.22 × 7,820.41
  4. Step 4: Simplify right side
    14,484.01x = 169,970,511.43
  5. Step 5: Solve for x
    x = 169,970,511.43/14,484.01
  6. Step 6: Final answer
    x = 11,735.05

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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.