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Finding the Fourth Proportional to 9,076.57, 13,609.59 and 4,143.57

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Solution

The fourth proportional to 9,076.57, 13,609.59 and 4,143.57 is: 6,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.57 : 13,609.59 = 4,143.57 : x
  2. Step 2: Convert to fraction form
    9,076.57/13,609.59 = 4,143.57/x
  3. Step 3: Cross multiply
    9,076.57x = 13,609.59 × 4,143.57
  4. Step 4: Simplify right side
    9,076.57x = 56,392,222.26
  5. Step 5: Solve for x
    x = 56,392,222.26/9,076.57
  6. Step 6: Final answer
    x = 6,212.95

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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.