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Finding the Fourth Proportional to 9,137.76, 12,609.40 and 5,159.27

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Solution

The fourth proportional to 9,137.76, 12,609.40 and 5,159.27 is: 7,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.76 : 12,609.40 = 5,159.27 : x
  2. Step 2: Convert to fraction form
    9,137.76/12,609.40 = 5,159.27/x
  3. Step 3: Cross multiply
    9,137.76x = 12,609.40 × 5,159.27
  4. Step 4: Simplify right side
    9,137.76x = 65,055,299.14
  5. Step 5: Solve for x
    x = 65,055,299.14/9,137.76
  6. Step 6: Final answer
    x = 7,119.39

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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.