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Finding the Fourth Proportional to 10,964, 16,446.82 and 3,567.90

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Solution

The fourth proportional to 10,964, 16,446.82 and 3,567.90 is: 5,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964 : 16,446.82 = 3,567.90 : x
  2. Step 2: Convert to fraction form
    10,964/16,446.82 = 3,567.90/x
  3. Step 3: Cross multiply
    10,964x = 16,446.82 × 3,567.90
  4. Step 4: Simplify right side
    10,964x = 58,680,609.08
  5. Step 5: Solve for x
    x = 58,680,609.08/10,964
  6. Step 6: Final answer
    x = 5,352.12

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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.