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Finding the Fourth Proportional to 8,423.34, 12,634.95 and 6,576

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Solution

The fourth proportional to 8,423.34, 12,634.95 and 6,576 is: 9,863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.34 : 12,634.95 = 6,576 : x
  2. Step 2: Convert to fraction form
    8,423.34/12,634.95 = 6,576/x
  3. Step 3: Cross multiply
    8,423.34x = 12,634.95 × 6,576
  4. Step 4: Simplify right side
    8,423.34x = 83,087,431.20
  5. Step 5: Solve for x
    x = 83,087,431.20/8,423.34
  6. Step 6: Final answer
    x = 9,863.95

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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.