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Finding the Fourth Proportional to 11,756.70, 17,616.78 and 6,814.08

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Solution

The fourth proportional to 11,756.70, 17,616.78 and 6,814.08 is: 10,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.70 : 17,616.78 = 6,814.08 : x
  2. Step 2: Convert to fraction form
    11,756.70/17,616.78 = 6,814.08/x
  3. Step 3: Cross multiply
    11,756.70x = 17,616.78 × 6,814.08
  4. Step 4: Simplify right side
    11,756.70x = 120,042,148.26
  5. Step 5: Solve for x
    x = 120,042,148.26/11,756.70
  6. Step 6: Final answer
    x = 10,210.53

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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.