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Finding the Fourth Proportional to 11,186.51, 16,790.70 and 6,812.51

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Solution

The fourth proportional to 11,186.51, 16,790.70 and 6,812.51 is: 10,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.51 : 16,790.70 = 6,812.51 : x
  2. Step 2: Convert to fraction form
    11,186.51/16,790.70 = 6,812.51/x
  3. Step 3: Cross multiply
    11,186.51x = 16,790.70 × 6,812.51
  4. Step 4: Simplify right side
    11,186.51x = 114,386,811.66
  5. Step 5: Solve for x
    x = 114,386,811.66/11,186.51
  6. Step 6: Final answer
    x = 10,225.42

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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.