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Finding the Fourth Proportional to 6,493.74, 9,738.57 and 1,812.54

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Solution

The fourth proportional to 6,493.74, 9,738.57 and 1,812.54 is: 2,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.74 : 9,738.57 = 1,812.54 : x
  2. Step 2: Convert to fraction form
    6,493.74/9,738.57 = 1,812.54/x
  3. Step 3: Cross multiply
    6,493.74x = 9,738.57 × 1,812.54
  4. Step 4: Simplify right side
    6,493.74x = 17,651,547.67
  5. Step 5: Solve for x
    x = 17,651,547.67/6,493.74
  6. Step 6: Final answer
    x = 2,718.24

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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.