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Finding the Fourth Proportional to 5,308.94, 7,963.72 and 1,611.29

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Solution

The fourth proportional to 5,308.94, 7,963.72 and 1,611.29 is: 2,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.94 : 7,963.72 = 1,611.29 : x
  2. Step 2: Convert to fraction form
    5,308.94/7,963.72 = 1,611.29/x
  3. Step 3: Cross multiply
    5,308.94x = 7,963.72 × 1,611.29
  4. Step 4: Simplify right side
    5,308.94x = 12,831,878.28
  5. Step 5: Solve for x
    x = 12,831,878.28/5,308.94
  6. Step 6: Final answer
    x = 2,417.03

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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.