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Finding the Fourth Proportional to 4,767, 6,578.46 and 2,671.26

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Solution

The fourth proportional to 4,767, 6,578.46 and 2,671.26 is: 3,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767 : 6,578.46 = 2,671.26 : x
  2. Step 2: Convert to fraction form
    4,767/6,578.46 = 2,671.26/x
  3. Step 3: Cross multiply
    4,767x = 6,578.46 × 2,671.26
  4. Step 4: Simplify right side
    4,767x = 17,572,777.06
  5. Step 5: Solve for x
    x = 17,572,777.06/4,767
  6. Step 6: Final answer
    x = 3,686.34

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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.