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Finding the Fourth Proportional to 5,293.63, 7,940.90 and 5,221.63

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Solution

The fourth proportional to 5,293.63, 7,940.90 and 5,221.63 is: 7,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.63 : 7,940.90 = 5,221.63 : x
  2. Step 2: Convert to fraction form
    5,293.63/7,940.90 = 5,221.63/x
  3. Step 3: Cross multiply
    5,293.63x = 7,940.90 × 5,221.63
  4. Step 4: Simplify right side
    5,293.63x = 41,464,441.67
  5. Step 5: Solve for x
    x = 41,464,441.67/5,293.63
  6. Step 6: Final answer
    x = 7,832.89

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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.