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Finding the Fourth Proportional to 5,696.91, 8,546.75 and 2,774.55

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Solution

The fourth proportional to 5,696.91, 8,546.75 and 2,774.55 is: 4,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.91 : 8,546.75 = 2,774.55 : x
  2. Step 2: Convert to fraction form
    5,696.91/8,546.75 = 2,774.55/x
  3. Step 3: Cross multiply
    5,696.91x = 8,546.75 × 2,774.55
  4. Step 4: Simplify right side
    5,696.91x = 23,713,371.34
  5. Step 5: Solve for x
    x = 23,713,371.34/5,696.91
  6. Step 6: Final answer
    x = 4,162.50

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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.