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Finding the Fourth Proportional to 12,697.18, 19,034.82 and 6,127.98

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Solution

The fourth proportional to 12,697.18, 19,034.82 and 6,127.98 is: 9,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.18 : 19,034.82 = 6,127.98 : x
  2. Step 2: Convert to fraction form
    12,697.18/19,034.82 = 6,127.98/x
  3. Step 3: Cross multiply
    12,697.18x = 19,034.82 × 6,127.98
  4. Step 4: Simplify right side
    12,697.18x = 116,644,996.26
  5. Step 5: Solve for x
    x = 116,644,996.26/12,697.18
  6. Step 6: Final answer
    x = 9,186.69

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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.