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Finding the Fourth Proportional to 34,394, 51,594 and 9,770

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Solution

The fourth proportional to 34,394, 51,594 and 9,770 is: 14,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,394 : 51,594 = 9,770 : x
  2. Step 2: Convert to fraction form
    34,394/51,594 = 9,770/x
  3. Step 3: Cross multiply
    34,394x = 51,594 × 9,770
  4. Step 4: Simplify right side
    34,394x = 504,073,380
  5. Step 5: Solve for x
    x = 504,073,380/34,394
  6. Step 6: Final answer
    x = 14,655.85

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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.