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Finding the Fourth Proportional to 6,950.66, 9,589.50 and 5,270.31

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Solution

The fourth proportional to 6,950.66, 9,589.50 and 5,270.31 is: 7,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.66 : 9,589.50 = 5,270.31 : x
  2. Step 2: Convert to fraction form
    6,950.66/9,589.50 = 5,270.31/x
  3. Step 3: Cross multiply
    6,950.66x = 9,589.50 × 5,270.31
  4. Step 4: Simplify right side
    6,950.66x = 50,539,637.75
  5. Step 5: Solve for x
    x = 50,539,637.75/6,950.66
  6. Step 6: Final answer
    x = 7,271.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.