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Finding the Fourth Proportional to 8,466.34, 12,703.56 and 3,271

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Solution

The fourth proportional to 8,466.34, 12,703.56 and 3,271 is: 4,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.34 : 12,703.56 = 3,271 : x
  2. Step 2: Convert to fraction form
    8,466.34/12,703.56 = 3,271/x
  3. Step 3: Cross multiply
    8,466.34x = 12,703.56 × 3,271
  4. Step 4: Simplify right side
    8,466.34x = 41,553,344.76
  5. Step 5: Solve for x
    x = 41,553,344.76/8,466.34
  6. Step 6: Final answer
    x = 4,908.06

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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.