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Finding the Fourth Proportional to 4,586.97, 6,881.06 and 1,664.89

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Solution

The fourth proportional to 4,586.97, 6,881.06 and 1,664.89 is: 2,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.97 : 6,881.06 = 1,664.89 : x
  2. Step 2: Convert to fraction form
    4,586.97/6,881.06 = 1,664.89/x
  3. Step 3: Cross multiply
    4,586.97x = 6,881.06 × 1,664.89
  4. Step 4: Simplify right side
    4,586.97x = 11,456,207.98
  5. Step 5: Solve for x
    x = 11,456,207.98/4,586.97
  6. Step 6: Final answer
    x = 2,497.55

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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.