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Finding the Fourth Proportional to 11,754.10, 16,220.91 and 6,448.92

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Solution

The fourth proportional to 11,754.10, 16,220.91 and 6,448.92 is: 8,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.10 : 16,220.91 = 6,448.92 : x
  2. Step 2: Convert to fraction form
    11,754.10/16,220.91 = 6,448.92/x
  3. Step 3: Cross multiply
    11,754.10x = 16,220.91 × 6,448.92
  4. Step 4: Simplify right side
    11,754.10x = 104,607,314.27
  5. Step 5: Solve for x
    x = 104,607,314.27/11,754.10
  6. Step 6: Final answer
    x = 8,899.64

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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.