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Finding the Fourth Proportional to 34,411, 51,625.20 and 9,787

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Solution

The fourth proportional to 34,411, 51,625.20 and 9,787 is: 14,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,411 : 51,625.20 = 9,787 : x
  2. Step 2: Convert to fraction form
    34,411/51,625.20 = 9,787/x
  3. Step 3: Cross multiply
    34,411x = 51,625.20 × 9,787
  4. Step 4: Simplify right side
    34,411x = 505,255,832.40
  5. Step 5: Solve for x
    x = 505,255,832.40/34,411
  6. Step 6: Final answer
    x = 14,682.97

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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.