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Finding the Fourth Proportional to 9,808.96, 14,706.24 and 4,612

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Solution

The fourth proportional to 9,808.96, 14,706.24 and 4,612 is: 6,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.96 : 14,706.24 = 4,612 : x
  2. Step 2: Convert to fraction form
    9,808.96/14,706.24 = 4,612/x
  3. Step 3: Cross multiply
    9,808.96x = 14,706.24 × 4,612
  4. Step 4: Simplify right side
    9,808.96x = 67,825,178.88
  5. Step 5: Solve for x
    x = 67,825,178.88/9,808.96
  6. Step 6: Final answer
    x = 6,914.61

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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.