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Finding the Fourth Proportional to 4,959.75, 6,844.22 and 2,971.40

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Solution

The fourth proportional to 4,959.75, 6,844.22 and 2,971.40 is: 4,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.75 : 6,844.22 = 2,971.40 : x
  2. Step 2: Convert to fraction form
    4,959.75/6,844.22 = 2,971.40/x
  3. Step 3: Cross multiply
    4,959.75x = 6,844.22 × 2,971.40
  4. Step 4: Simplify right side
    4,959.75x = 20,336,915.31
  5. Step 5: Solve for x
    x = 20,336,915.31/4,959.75
  6. Step 6: Final answer
    x = 4,100.39

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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.