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Finding the Fourth Proportional to 11,847.78, 16,353.07 and 7,368.99

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Solution

The fourth proportional to 11,847.78, 16,353.07 and 7,368.99 is: 10,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.78 : 16,353.07 = 7,368.99 : x
  2. Step 2: Convert to fraction form
    11,847.78/16,353.07 = 7,368.99/x
  3. Step 3: Cross multiply
    11,847.78x = 16,353.07 × 7,368.99
  4. Step 4: Simplify right side
    11,847.78x = 120,505,509.11
  5. Step 5: Solve for x
    x = 120,505,509.11/11,847.78
  6. Step 6: Final answer
    x = 10,171.14

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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.