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Finding the Fourth Proportional to 10,483.67, 14,467.38 and 5,947.22

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Solution

The fourth proportional to 10,483.67, 14,467.38 and 5,947.22 is: 8,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.67 : 14,467.38 = 5,947.22 : x
  2. Step 2: Convert to fraction form
    10,483.67/14,467.38 = 5,947.22/x
  3. Step 3: Cross multiply
    10,483.67x = 14,467.38 × 5,947.22
  4. Step 4: Simplify right side
    10,483.67x = 86,040,619.35
  5. Step 5: Solve for x
    x = 86,040,619.35/10,483.67
  6. Step 6: Final answer
    x = 8,207.11

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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.