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Finding the Fourth Proportional to 8,919.24, 12,302.46 and 5,193.24

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Solution

The fourth proportional to 8,919.24, 12,302.46 and 5,193.24 is: 7,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.24 : 12,302.46 = 5,193.24 : x
  2. Step 2: Convert to fraction form
    8,919.24/12,302.46 = 5,193.24/x
  3. Step 3: Cross multiply
    8,919.24x = 12,302.46 × 5,193.24
  4. Step 4: Simplify right side
    8,919.24x = 63,889,627.37
  5. Step 5: Solve for x
    x = 63,889,627.37/8,919.24
  6. Step 6: Final answer
    x = 7,163.12

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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.