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Finding the Fourth Proportional to 8,510.93, 12,766.40 and 2,270.97

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Solution

The fourth proportional to 8,510.93, 12,766.40 and 2,270.97 is: 3,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.93 : 12,766.40 = 2,270.97 : x
  2. Step 2: Convert to fraction form
    8,510.93/12,766.40 = 2,270.97/x
  3. Step 3: Cross multiply
    8,510.93x = 12,766.40 × 2,270.97
  4. Step 4: Simplify right side
    8,510.93x = 28,992,076.65
  5. Step 5: Solve for x
    x = 28,992,076.65/8,510.93
  6. Step 6: Final answer
    x = 3,406.45

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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.