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Finding the Fourth Proportional to 11,162.16, 16,743.24 and 8,698.82

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Solution

The fourth proportional to 11,162.16, 16,743.24 and 8,698.82 is: 13,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.16 : 16,743.24 = 8,698.82 : x
  2. Step 2: Convert to fraction form
    11,162.16/16,743.24 = 8,698.82/x
  3. Step 3: Cross multiply
    11,162.16x = 16,743.24 × 8,698.82
  4. Step 4: Simplify right side
    11,162.16x = 145,646,430.98
  5. Step 5: Solve for x
    x = 145,646,430.98/11,162.16
  6. Step 6: Final answer
    x = 13,048.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.