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Finding the Fourth Proportional to 6,514.88, 9,772.34 and 1,897.88

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Solution

The fourth proportional to 6,514.88, 9,772.34 and 1,897.88 is: 2,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.88 : 9,772.34 = 1,897.88 : x
  2. Step 2: Convert to fraction form
    6,514.88/9,772.34 = 1,897.88/x
  3. Step 3: Cross multiply
    6,514.88x = 9,772.34 × 1,897.88
  4. Step 4: Simplify right side
    6,514.88x = 18,546,670.29
  5. Step 5: Solve for x
    x = 18,546,670.29/6,514.88
  6. Step 6: Final answer
    x = 2,846.82

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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.