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Finding the Fourth Proportional to 11,752.92, 16,219.08 and 6,448.20

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Solution

The fourth proportional to 11,752.92, 16,219.08 and 6,448.20 is: 8,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.92 : 16,219.08 = 6,448.20 : x
  2. Step 2: Convert to fraction form
    11,752.92/16,219.08 = 6,448.20/x
  3. Step 3: Cross multiply
    11,752.92x = 16,219.08 × 6,448.20
  4. Step 4: Simplify right side
    11,752.92x = 104,583,871.66
  5. Step 5: Solve for x
    x = 104,583,871.66/11,752.92
  6. Step 6: Final answer
    x = 8,898.54

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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.