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Finding the Fourth Proportional to 6,130, 9,197.70 and 2,026

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Solution

The fourth proportional to 6,130, 9,197.70 and 2,026 is: 3,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130 : 9,197.70 = 2,026 : x
  2. Step 2: Convert to fraction form
    6,130/9,197.70 = 2,026/x
  3. Step 3: Cross multiply
    6,130x = 9,197.70 × 2,026
  4. Step 4: Simplify right side
    6,130x = 18,634,540.20
  5. Step 5: Solve for x
    x = 18,634,540.20/6,130
  6. Step 6: Final answer
    x = 3,039.89

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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.