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Finding the Fourth Proportional to 11,199.92, 15,455.64 and 6,484.12

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Solution

The fourth proportional to 11,199.92, 15,455.64 and 6,484.12 is: 8,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.92 : 15,455.64 = 6,484.12 : x
  2. Step 2: Convert to fraction form
    11,199.92/15,455.64 = 6,484.12/x
  3. Step 3: Cross multiply
    11,199.92x = 15,455.64 × 6,484.12
  4. Step 4: Simplify right side
    11,199.92x = 100,216,224.44
  5. Step 5: Solve for x
    x = 100,216,224.44/11,199.92
  6. Step 6: Final answer
    x = 8,947.94

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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.