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Finding the Fourth Proportional to 11,164.81, 16,747.22 and 5,303.65

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Solution

The fourth proportional to 11,164.81, 16,747.22 and 5,303.65 is: 7,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.81 : 16,747.22 = 5,303.65 : x
  2. Step 2: Convert to fraction form
    11,164.81/16,747.22 = 5,303.65/x
  3. Step 3: Cross multiply
    11,164.81x = 16,747.22 × 5,303.65
  4. Step 4: Simplify right side
    11,164.81x = 88,821,393.35
  5. Step 5: Solve for x
    x = 88,821,393.35/11,164.81
  6. Step 6: Final answer
    x = 7,955.48

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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.