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Finding the Fourth Proportional to 6,876.30, 10,314.42 and 2,259.30

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Solution

The fourth proportional to 6,876.30, 10,314.42 and 2,259.30 is: 3,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.30 : 10,314.42 = 2,259.30 : x
  2. Step 2: Convert to fraction form
    6,876.30/10,314.42 = 2,259.30/x
  3. Step 3: Cross multiply
    6,876.30x = 10,314.42 × 2,259.30
  4. Step 4: Simplify right side
    6,876.30x = 23,303,369.11
  5. Step 5: Solve for x
    x = 23,303,369.11/6,876.30
  6. Step 6: Final answer
    x = 3,388.94

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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.