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Finding the Fourth Proportional to 6,222.84, 9,334.64 and 1,840.40

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Solution

The fourth proportional to 6,222.84, 9,334.64 and 1,840.40 is: 2,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.84 : 9,334.64 = 1,840.40 : x
  2. Step 2: Convert to fraction form
    6,222.84/9,334.64 = 1,840.40/x
  3. Step 3: Cross multiply
    6,222.84x = 9,334.64 × 1,840.40
  4. Step 4: Simplify right side
    6,222.84x = 17,179,471.46
  5. Step 5: Solve for x
    x = 17,179,471.46/6,222.84
  6. Step 6: Final answer
    x = 2,760.71

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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.