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Finding the Fourth Proportional to 34,134, 51,209.64 and 9,510

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Solution

The fourth proportional to 34,134, 51,209.64 and 9,510 is: 14,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134 : 51,209.64 = 9,510 : x
  2. Step 2: Convert to fraction form
    34,134/51,209.64 = 9,510/x
  3. Step 3: Cross multiply
    34,134x = 51,209.64 × 9,510
  4. Step 4: Simplify right side
    34,134x = 487,003,676.40
  5. Step 5: Solve for x
    x = 487,003,676.40/34,134
  6. Step 6: Final answer
    x = 14,267.41

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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.