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Finding the Fourth Proportional to 6,273.12, 9,411.31 and 1,830.68

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Solution

The fourth proportional to 6,273.12, 9,411.31 and 1,830.68 is: 2,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.12 : 9,411.31 = 1,830.68 : x
  2. Step 2: Convert to fraction form
    6,273.12/9,411.31 = 1,830.68/x
  3. Step 3: Cross multiply
    6,273.12x = 9,411.31 × 1,830.68
  4. Step 4: Simplify right side
    6,273.12x = 17,229,096.99
  5. Step 5: Solve for x
    x = 17,229,096.99/6,273.12
  6. Step 6: Final answer
    x = 2,746.50

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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.