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Finding the Fourth Proportional to 8,470.84, 12,701.94 and 2,846.57

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Solution

The fourth proportional to 8,470.84, 12,701.94 and 2,846.57 is: 4,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.84 : 12,701.94 = 2,846.57 : x
  2. Step 2: Convert to fraction form
    8,470.84/12,701.94 = 2,846.57/x
  3. Step 3: Cross multiply
    8,470.84x = 12,701.94 × 2,846.57
  4. Step 4: Simplify right side
    8,470.84x = 36,157,020.28
  5. Step 5: Solve for x
    x = 36,157,020.28/8,470.84
  6. Step 6: Final answer
    x = 4,268.41

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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.