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Finding the Fourth Proportional to 6,661.84, 9,992.76 and 2,280.56

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Solution

The fourth proportional to 6,661.84, 9,992.76 and 2,280.56 is: 3,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.84 : 9,992.76 = 2,280.56 : x
  2. Step 2: Convert to fraction form
    6,661.84/9,992.76 = 2,280.56/x
  3. Step 3: Cross multiply
    6,661.84x = 9,992.76 × 2,280.56
  4. Step 4: Simplify right side
    6,661.84x = 22,789,088.75
  5. Step 5: Solve for x
    x = 22,789,088.75/6,661.84
  6. Step 6: Final answer
    x = 3,420.84

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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.