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Finding the Fourth Proportional to 7,838.73, 11,774.36 and 6,339.44

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Solution

The fourth proportional to 7,838.73, 11,774.36 and 6,339.44 is: 9,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.73 : 11,774.36 = 6,339.44 : x
  2. Step 2: Convert to fraction form
    7,838.73/11,774.36 = 6,339.44/x
  3. Step 3: Cross multiply
    7,838.73x = 11,774.36 × 6,339.44
  4. Step 4: Simplify right side
    7,838.73x = 74,642,758.19
  5. Step 5: Solve for x
    x = 74,642,758.19/7,838.73
  6. Step 6: Final answer
    x = 9,522.30

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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.