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Finding the Fourth Proportional to 6,775.95, 10,165.46 and 2,158.95

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Solution

The fourth proportional to 6,775.95, 10,165.46 and 2,158.95 is: 3,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.95 : 10,165.46 = 2,158.95 : x
  2. Step 2: Convert to fraction form
    6,775.95/10,165.46 = 2,158.95/x
  3. Step 3: Cross multiply
    6,775.95x = 10,165.46 × 2,158.95
  4. Step 4: Simplify right side
    6,775.95x = 21,946,709.07
  5. Step 5: Solve for x
    x = 21,946,709.07/6,775.95
  6. Step 6: Final answer
    x = 3,238.91

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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.