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Finding the Fourth Proportional to 4,653.97, 6,980.97 and 1,144.01

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Solution

The fourth proportional to 4,653.97, 6,980.97 and 1,144.01 is: 1,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.97 : 6,980.97 = 1,144.01 : x
  2. Step 2: Convert to fraction form
    4,653.97/6,980.97 = 1,144.01/x
  3. Step 3: Cross multiply
    4,653.97x = 6,980.97 × 1,144.01
  4. Step 4: Simplify right side
    4,653.97x = 7,986,268.87
  5. Step 5: Solve for x
    x = 7,986,268.87/4,653.97
  6. Step 6: Final answer
    x = 1,716.01

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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.