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Finding the Fourth Proportional to 8,477.34, 12,718.07 and 2,634

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Solution

The fourth proportional to 8,477.34, 12,718.07 and 2,634 is: 3,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.34 : 12,718.07 = 2,634 : x
  2. Step 2: Convert to fraction form
    8,477.34/12,718.07 = 2,634/x
  3. Step 3: Cross multiply
    8,477.34x = 12,718.07 × 2,634
  4. Step 4: Simplify right side
    8,477.34x = 33,499,396.38
  5. Step 5: Solve for x
    x = 33,499,396.38/8,477.34
  6. Step 6: Final answer
    x = 3,951.64

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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.