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Finding the Fourth Proportional to 4,766.98, 6,578.49 and 2,671.06

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Solution

The fourth proportional to 4,766.98, 6,578.49 and 2,671.06 is: 3,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.98 : 6,578.49 = 2,671.06 : x
  2. Step 2: Convert to fraction form
    4,766.98/6,578.49 = 2,671.06/x
  3. Step 3: Cross multiply
    4,766.98x = 6,578.49 × 2,671.06
  4. Step 4: Simplify right side
    4,766.98x = 17,571,541.50
  5. Step 5: Solve for x
    x = 17,571,541.50/4,766.98
  6. Step 6: Final answer
    x = 3,686.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.