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Finding the Fourth Proportional to 7,946.73, 11,923.47 and 4,248

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Solution

The fourth proportional to 7,946.73, 11,923.47 and 4,248 is: 6,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.73 : 11,923.47 = 4,248 : x
  2. Step 2: Convert to fraction form
    7,946.73/11,923.47 = 4,248/x
  3. Step 3: Cross multiply
    7,946.73x = 11,923.47 × 4,248
  4. Step 4: Simplify right side
    7,946.73x = 50,650,900.56
  5. Step 5: Solve for x
    x = 50,650,900.56/7,946.73
  6. Step 6: Final answer
    x = 6,373.80

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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.