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Finding the Fourth Proportional to 6,718.74, 10,083 and 4,497.72

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Solution

The fourth proportional to 6,718.74, 10,083 and 4,497.72 is: 6,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.74 : 10,083 = 4,497.72 : x
  2. Step 2: Convert to fraction form
    6,718.74/10,083 = 4,497.72/x
  3. Step 3: Cross multiply
    6,718.74x = 10,083 × 4,497.72
  4. Step 4: Simplify right side
    6,718.74x = 45,350,510.76
  5. Step 5: Solve for x
    x = 45,350,510.76/6,718.74
  6. Step 6: Final answer
    x = 6,749.85

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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.