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Finding the Fourth Proportional to 10,309.98, 15,464.41 and 6,361.99

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Solution

The fourth proportional to 10,309.98, 15,464.41 and 6,361.99 is: 9,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.98 : 15,464.41 = 6,361.99 : x
  2. Step 2: Convert to fraction form
    10,309.98/15,464.41 = 6,361.99/x
  3. Step 3: Cross multiply
    10,309.98x = 15,464.41 × 6,361.99
  4. Step 4: Simplify right side
    10,309.98x = 98,384,421.78
  5. Step 5: Solve for x
    x = 98,384,421.78/10,309.98
  6. Step 6: Final answer
    x = 9,542.64

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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.