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Finding the Fourth Proportional to 34,467, 51,700.56 and 9,843

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Solution

The fourth proportional to 34,467, 51,700.56 and 9,843 is: 14,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,467 : 51,700.56 = 9,843 : x
  2. Step 2: Convert to fraction form
    34,467/51,700.56 = 9,843/x
  3. Step 3: Cross multiply
    34,467x = 51,700.56 × 9,843
  4. Step 4: Simplify right side
    34,467x = 508,888,612.08
  5. Step 5: Solve for x
    x = 508,888,612.08/34,467
  6. Step 6: Final answer
    x = 14,764.52

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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.