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Finding the Fourth Proportional to 9,855.44, 14,783.16 and 3,698

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Solution

The fourth proportional to 9,855.44, 14,783.16 and 3,698 is: 5,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.44 : 14,783.16 = 3,698 : x
  2. Step 2: Convert to fraction form
    9,855.44/14,783.16 = 3,698/x
  3. Step 3: Cross multiply
    9,855.44x = 14,783.16 × 3,698
  4. Step 4: Simplify right side
    9,855.44x = 54,668,125.68
  5. Step 5: Solve for x
    x = 54,668,125.68/9,855.44
  6. Step 6: Final answer
    x = 5,547

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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.