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Finding the Fourth Proportional to 6,430, 9,645 and 1,813

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Solution

The fourth proportional to 6,430, 9,645 and 1,813 is: 2,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430 : 9,645 = 1,813 : x
  2. Step 2: Convert to fraction form
    6,430/9,645 = 1,813/x
  3. Step 3: Cross multiply
    6,430x = 9,645 × 1,813
  4. Step 4: Simplify right side
    6,430x = 17,486,385
  5. Step 5: Solve for x
    x = 17,486,385/6,430
  6. Step 6: Final answer
    x = 2,719.50

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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.