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Finding the Fourth Proportional to 6,896.54, 9,512.14 and 4,376.48

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Solution

The fourth proportional to 6,896.54, 9,512.14 and 4,376.48 is: 6,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.54 : 9,512.14 = 4,376.48 : x
  2. Step 2: Convert to fraction form
    6,896.54/9,512.14 = 4,376.48/x
  3. Step 3: Cross multiply
    6,896.54x = 9,512.14 × 4,376.48
  4. Step 4: Simplify right side
    6,896.54x = 41,629,690.47
  5. Step 5: Solve for x
    x = 41,629,690.47/6,896.54
  6. Step 6: Final answer
    x = 6,036.32

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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.