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Finding the Fourth Proportional to 8,667.88, 13,000.46 and 2,824.46

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Solution

The fourth proportional to 8,667.88, 13,000.46 and 2,824.46 is: 4,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.88 : 13,000.46 = 2,824.46 : x
  2. Step 2: Convert to fraction form
    8,667.88/13,000.46 = 2,824.46/x
  3. Step 3: Cross multiply
    8,667.88x = 13,000.46 × 2,824.46
  4. Step 4: Simplify right side
    8,667.88x = 36,719,279.25
  5. Step 5: Solve for x
    x = 36,719,279.25/8,667.88
  6. Step 6: Final answer
    x = 4,236.25

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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.