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Finding the Fourth Proportional to 11,758.64, 16,225.74 and 7,280.73

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Solution

The fourth proportional to 11,758.64, 16,225.74 and 7,280.73 is: 10,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.64 : 16,225.74 = 7,280.73 : x
  2. Step 2: Convert to fraction form
    11,758.64/16,225.74 = 7,280.73/x
  3. Step 3: Cross multiply
    11,758.64x = 16,225.74 × 7,280.73
  4. Step 4: Simplify right side
    11,758.64x = 118,135,231.99
  5. Step 5: Solve for x
    x = 118,135,231.99/11,758.64
  6. Step 6: Final answer
    x = 10,046.68

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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.