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Finding the Fourth Proportional to 9,698.44, 14,548.50 and 2,678.46

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Solution

The fourth proportional to 9,698.44, 14,548.50 and 2,678.46 is: 4,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.44 : 14,548.50 = 2,678.46 : x
  2. Step 2: Convert to fraction form
    9,698.44/14,548.50 = 2,678.46/x
  3. Step 3: Cross multiply
    9,698.44x = 14,548.50 × 2,678.46
  4. Step 4: Simplify right side
    9,698.44x = 38,967,575.31
  5. Step 5: Solve for x
    x = 38,967,575.31/9,698.44
  6. Step 6: Final answer
    x = 4,017.92

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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.