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Finding the Fourth Proportional to 15,644.68, 23,467 and 6,284.70

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Solution

The fourth proportional to 15,644.68, 23,467 and 6,284.70 is: 9,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.68 : 23,467 = 6,284.70 : x
  2. Step 2: Convert to fraction form
    15,644.68/23,467 = 6,284.70/x
  3. Step 3: Cross multiply
    15,644.68x = 23,467 × 6,284.70
  4. Step 4: Simplify right side
    15,644.68x = 147,482,996.23
  5. Step 5: Solve for x
    x = 147,482,996.23/15,644.68
  6. Step 6: Final answer
    x = 9,427.04

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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.