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Finding the Fourth Proportional to 34,278.76, 51,410.94 and 9,649

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Solution

The fourth proportional to 34,278.76, 51,410.94 and 9,649 is: 14,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278.76 : 51,410.94 = 9,649 : x
  2. Step 2: Convert to fraction form
    34,278.76/51,410.94 = 9,649/x
  3. Step 3: Cross multiply
    34,278.76x = 51,410.94 × 9,649
  4. Step 4: Simplify right side
    34,278.76x = 496,064,160.06
  5. Step 5: Solve for x
    x = 496,064,160.06/34,278.76
  6. Step 6: Final answer
    x = 14,471.47

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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.