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Finding the Fourth Proportional to 6,959.47, 10,436.99 and 2,278.22

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Solution

The fourth proportional to 6,959.47, 10,436.99 and 2,278.22 is: 3,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.47 : 10,436.99 = 2,278.22 : x
  2. Step 2: Convert to fraction form
    6,959.47/10,436.99 = 2,278.22/x
  3. Step 3: Cross multiply
    6,959.47x = 10,436.99 × 2,278.22
  4. Step 4: Simplify right side
    6,959.47x = 23,777,759.36
  5. Step 5: Solve for x
    x = 23,777,759.36/6,959.47
  6. Step 6: Final answer
    x = 3,416.60

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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.