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Finding the Fourth Proportional to 23,916.75, 35,880.26 and 7,278.14

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Solution

The fourth proportional to 23,916.75, 35,880.26 and 7,278.14 is: 10,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,916.75 : 35,880.26 = 7,278.14 : x
  2. Step 2: Convert to fraction form
    23,916.75/35,880.26 = 7,278.14/x
  3. Step 3: Cross multiply
    23,916.75x = 35,880.26 × 7,278.14
  4. Step 4: Simplify right side
    23,916.75x = 261,141,339.72
  5. Step 5: Solve for x
    x = 261,141,339.72/23,916.75
  6. Step 6: Final answer
    x = 10,918.76

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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.