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Finding the Fourth Proportional to 10,829, 16,244.30 and 4,673

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Solution

The fourth proportional to 10,829, 16,244.30 and 4,673 is: 7,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829 : 16,244.30 = 4,673 : x
  2. Step 2: Convert to fraction form
    10,829/16,244.30 = 4,673/x
  3. Step 3: Cross multiply
    10,829x = 16,244.30 × 4,673
  4. Step 4: Simplify right side
    10,829x = 75,909,613.90
  5. Step 5: Solve for x
    x = 75,909,613.90/10,829
  6. Step 6: Final answer
    x = 7,009.85

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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.