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Finding the Fourth Proportional to 11,690.70, 16,124.24 and 7,442.44

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Solution

The fourth proportional to 11,690.70, 16,124.24 and 7,442.44 is: 10,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.70 : 16,124.24 = 7,442.44 : x
  2. Step 2: Convert to fraction form
    11,690.70/16,124.24 = 7,442.44/x
  3. Step 3: Cross multiply
    11,690.70x = 16,124.24 × 7,442.44
  4. Step 4: Simplify right side
    11,690.70x = 120,003,688.75
  5. Step 5: Solve for x
    x = 120,003,688.75/11,690.70
  6. Step 6: Final answer
    x = 10,264.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.