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Finding the Fourth Proportional to 9,858.82, 14,783.88 and 3,698.50

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Solution

The fourth proportional to 9,858.82, 14,783.88 and 3,698.50 is: 5,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.82 : 14,783.88 = 3,698.50 : x
  2. Step 2: Convert to fraction form
    9,858.82/14,783.88 = 3,698.50/x
  3. Step 3: Cross multiply
    9,858.82x = 14,783.88 × 3,698.50
  4. Step 4: Simplify right side
    9,858.82x = 54,678,180.18
  5. Step 5: Solve for x
    x = 54,678,180.18/9,858.82
  6. Step 6: Final answer
    x = 5,546.12

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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.