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Finding the Fourth Proportional to 12,573.68, 18,842.32 and 6,952.44

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Solution

The fourth proportional to 12,573.68, 18,842.32 and 6,952.44 is: 10,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.68 : 18,842.32 = 6,952.44 : x
  2. Step 2: Convert to fraction form
    12,573.68/18,842.32 = 6,952.44/x
  3. Step 3: Cross multiply
    12,573.68x = 18,842.32 × 6,952.44
  4. Step 4: Simplify right side
    12,573.68x = 131,000,099.26
  5. Step 5: Solve for x
    x = 131,000,099.26/12,573.68
  6. Step 6: Final answer
    x = 10,418.60

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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.