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Finding the Fourth Proportional to 6,461.84, 9,693 and 2,300.32

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Solution

The fourth proportional to 6,461.84, 9,693 and 2,300.32 is: 3,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.84 : 9,693 = 2,300.32 : x
  2. Step 2: Convert to fraction form
    6,461.84/9,693 = 2,300.32/x
  3. Step 3: Cross multiply
    6,461.84x = 9,693 × 2,300.32
  4. Step 4: Simplify right side
    6,461.84x = 22,296,959.35
  5. Step 5: Solve for x
    x = 22,296,959.35/6,461.84
  6. Step 6: Final answer
    x = 3,450.56

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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.