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Finding the Fourth Proportional to 4,571.97, 6,856.53 and 1,649.89

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Solution

The fourth proportional to 4,571.97, 6,856.53 and 1,649.89 is: 2,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.97 : 6,856.53 = 1,649.89 : x
  2. Step 2: Convert to fraction form
    4,571.97/6,856.53 = 1,649.89/x
  3. Step 3: Cross multiply
    4,571.97x = 6,856.53 × 1,649.89
  4. Step 4: Simplify right side
    4,571.97x = 11,312,520.28
  5. Step 5: Solve for x
    x = 11,312,520.28/4,571.97
  6. Step 6: Final answer
    x = 2,474.32

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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.