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Finding the Fourth Proportional to 7,028.16, 9,694.80 and 4,544.16

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Solution

The fourth proportional to 7,028.16, 9,694.80 and 4,544.16 is: 6,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.16 : 9,694.80 = 4,544.16 : x
  2. Step 2: Convert to fraction form
    7,028.16/9,694.80 = 4,544.16/x
  3. Step 3: Cross multiply
    7,028.16x = 9,694.80 × 4,544.16
  4. Step 4: Simplify right side
    7,028.16x = 44,054,722.37
  5. Step 5: Solve for x
    x = 44,054,722.37/7,028.16
  6. Step 6: Final answer
    x = 6,268.32

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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.