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Finding the Fourth Proportional to 6,985.50, 10,493.22 and 4,390.26

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Solution

The fourth proportional to 6,985.50, 10,493.22 and 4,390.26 is: 6,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.50 : 10,493.22 = 4,390.26 : x
  2. Step 2: Convert to fraction form
    6,985.50/10,493.22 = 4,390.26/x
  3. Step 3: Cross multiply
    6,985.50x = 10,493.22 × 4,390.26
  4. Step 4: Simplify right side
    6,985.50x = 46,067,964.04
  5. Step 5: Solve for x
    x = 46,067,964.04/6,985.50
  6. Step 6: Final answer
    x = 6,594.80

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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.