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Finding the Fourth Proportional to 6,875, 10,314.26 and 2,258.04

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Solution

The fourth proportional to 6,875, 10,314.26 and 2,258.04 is: 3,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875 : 10,314.26 = 2,258.04 : x
  2. Step 2: Convert to fraction form
    6,875/10,314.26 = 2,258.04/x
  3. Step 3: Cross multiply
    6,875x = 10,314.26 × 2,258.04
  4. Step 4: Simplify right side
    6,875x = 23,290,011.65
  5. Step 5: Solve for x
    x = 23,290,011.65/6,875
  6. Step 6: Final answer
    x = 3,387.64

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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.