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Finding the Fourth Proportional to 9,271.59, 13,908 and 2,698.23

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Solution

The fourth proportional to 9,271.59, 13,908 and 2,698.23 is: 4,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.59 : 13,908 = 2,698.23 : x
  2. Step 2: Convert to fraction form
    9,271.59/13,908 = 2,698.23/x
  3. Step 3: Cross multiply
    9,271.59x = 13,908 × 2,698.23
  4. Step 4: Simplify right side
    9,271.59x = 37,526,982.84
  5. Step 5: Solve for x
    x = 37,526,982.84/9,271.59
  6. Step 6: Final answer
    x = 4,047.52

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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.