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Finding the Fourth Proportional to 7,967.98, 11,952.24 and 2,702.94

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Solution

The fourth proportional to 7,967.98, 11,952.24 and 2,702.94 is: 4,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.98 : 11,952.24 = 2,702.94 : x
  2. Step 2: Convert to fraction form
    7,967.98/11,952.24 = 2,702.94/x
  3. Step 3: Cross multiply
    7,967.98x = 11,952.24 × 2,702.94
  4. Step 4: Simplify right side
    7,967.98x = 32,306,187.59
  5. Step 5: Solve for x
    x = 32,306,187.59/7,967.98
  6. Step 6: Final answer
    x = 4,054.50

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1.5x scale

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.