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Finding the Fourth Proportional to 7,017.65, 9,684.41 and 3,830.97

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Solution

The fourth proportional to 7,017.65, 9,684.41 and 3,830.97 is: 5,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.65 : 9,684.41 = 3,830.97 : x
  2. Step 2: Convert to fraction form
    7,017.65/9,684.41 = 3,830.97/x
  3. Step 3: Cross multiply
    7,017.65x = 9,684.41 × 3,830.97
  4. Step 4: Simplify right side
    7,017.65x = 37,100,665.02
  5. Step 5: Solve for x
    x = 37,100,665.02/7,017.65
  6. Step 6: Final answer
    x = 5,286.77

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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.