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Finding the Fourth Proportional to 6,674.40, 9,210.24 and 4,022.40

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Solution

The fourth proportional to 6,674.40, 9,210.24 and 4,022.40 is: 5,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.40 : 9,210.24 = 4,022.40 : x
  2. Step 2: Convert to fraction form
    6,674.40/9,210.24 = 4,022.40/x
  3. Step 3: Cross multiply
    6,674.40x = 9,210.24 × 4,022.40
  4. Step 4: Simplify right side
    6,674.40x = 37,047,269.38
  5. Step 5: Solve for x
    x = 37,047,269.38/6,674.40
  6. Step 6: Final answer
    x = 5,550.65

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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.