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Finding the Fourth Proportional to 4,649.25, 6,973.89 and 1,571.25

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Solution

The fourth proportional to 4,649.25, 6,973.89 and 1,571.25 is: 2,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.25 : 6,973.89 = 1,571.25 : x
  2. Step 2: Convert to fraction form
    4,649.25/6,973.89 = 1,571.25/x
  3. Step 3: Cross multiply
    4,649.25x = 6,973.89 × 1,571.25
  4. Step 4: Simplify right side
    4,649.25x = 10,957,724.66
  5. Step 5: Solve for x
    x = 10,957,724.66/4,649.25
  6. Step 6: Final answer
    x = 2,356.88

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Similar ratio
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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.