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Finding the Fourth Proportional to 9,137.22, 12,609.32 and 5,159.63

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Solution

The fourth proportional to 9,137.22, 12,609.32 and 5,159.63 is: 7,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.22 : 12,609.32 = 5,159.63 : x
  2. Step 2: Convert to fraction form
    9,137.22/12,609.32 = 5,159.63/x
  3. Step 3: Cross multiply
    9,137.22x = 12,609.32 × 5,159.63
  4. Step 4: Simplify right side
    9,137.22x = 65,059,336.91
  5. Step 5: Solve for x
    x = 65,059,336.91/9,137.22
  6. Step 6: Final answer
    x = 7,120.26

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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.