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Finding the Fourth Proportional to 6,367.88, 9,551.82 and 2,261

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Solution

The fourth proportional to 6,367.88, 9,551.82 and 2,261 is: 3,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.88 : 9,551.82 = 2,261 : x
  2. Step 2: Convert to fraction form
    6,367.88/9,551.82 = 2,261/x
  3. Step 3: Cross multiply
    6,367.88x = 9,551.82 × 2,261
  4. Step 4: Simplify right side
    6,367.88x = 21,596,665.02
  5. Step 5: Solve for x
    x = 21,596,665.02/6,367.88
  6. Step 6: Final answer
    x = 3,391.50

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Double scale
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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.