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Finding the Fourth Proportional to 14,511.22, 21,770.47 and 5,746.22

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Solution

The fourth proportional to 14,511.22, 21,770.47 and 5,746.22 is: 8,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,511.22 : 21,770.47 = 5,746.22 : x
  2. Step 2: Convert to fraction form
    14,511.22/21,770.47 = 5,746.22/x
  3. Step 3: Cross multiply
    14,511.22x = 21,770.47 × 5,746.22
  4. Step 4: Simplify right side
    14,511.22x = 125,097,910.12
  5. Step 5: Solve for x
    x = 125,097,910.12/14,511.22
  6. Step 6: Final answer
    x = 8,620.77

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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.