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Finding the Fourth Proportional to 8,224.63, 12,335.57 and 2,958.57

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Solution

The fourth proportional to 8,224.63, 12,335.57 and 2,958.57 is: 4,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.63 : 12,335.57 = 2,958.57 : x
  2. Step 2: Convert to fraction form
    8,224.63/12,335.57 = 2,958.57/x
  3. Step 3: Cross multiply
    8,224.63x = 12,335.57 × 2,958.57
  4. Step 4: Simplify right side
    8,224.63x = 36,495,647.33
  5. Step 5: Solve for x
    x = 36,495,647.33/8,224.63
  6. Step 6: Final answer
    x = 4,437.36

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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.