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Finding the Fourth Proportional to 34,658.78, 51,991.35 and 9,698.76

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Solution

The fourth proportional to 34,658.78, 51,991.35 and 9,698.76 is: 14,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.78 : 51,991.35 = 9,698.76 : x
  2. Step 2: Convert to fraction form
    34,658.78/51,991.35 = 9,698.76/x
  3. Step 3: Cross multiply
    34,658.78x = 51,991.35 × 9,698.76
  4. Step 4: Simplify right side
    34,658.78x = 504,251,625.73
  5. Step 5: Solve for x
    x = 504,251,625.73/34,658.78
  6. Step 6: Final answer
    x = 14,549.03

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1.5x scale

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.