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Finding the Fourth Proportional to 7,041.44, 9,716.99 and 4,016.49

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Solution

The fourth proportional to 7,041.44, 9,716.99 and 4,016.49 is: 5,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.44 : 9,716.99 = 4,016.49 : x
  2. Step 2: Convert to fraction form
    7,041.44/9,716.99 = 4,016.49/x
  3. Step 3: Cross multiply
    7,041.44x = 9,716.99 × 4,016.49
  4. Step 4: Simplify right side
    7,041.44x = 39,028,173.08
  5. Step 5: Solve for x
    x = 39,028,173.08/7,041.44
  6. Step 6: Final answer
    x = 5,542.64

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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.