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Finding the Fourth Proportional to 7,970.94, 11,948.92 and 2,702.27

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Solution

The fourth proportional to 7,970.94, 11,948.92 and 2,702.27 is: 4,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.94 : 11,948.92 = 2,702.27 : x
  2. Step 2: Convert to fraction form
    7,970.94/11,948.92 = 2,702.27/x
  3. Step 3: Cross multiply
    7,970.94x = 11,948.92 × 2,702.27
  4. Step 4: Simplify right side
    7,970.94x = 32,289,231.17
  5. Step 5: Solve for x
    x = 32,289,231.17/7,970.94
  6. Step 6: Final answer
    x = 4,050.87

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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.