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Finding the Fourth Proportional to 19,497, 29,245.50 and 4,905

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Solution

The fourth proportional to 19,497, 29,245.50 and 4,905 is: 7,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497 : 29,245.50 = 4,905 : x
  2. Step 2: Convert to fraction form
    19,497/29,245.50 = 4,905/x
  3. Step 3: Cross multiply
    19,497x = 29,245.50 × 4,905
  4. Step 4: Simplify right side
    19,497x = 143,449,177.50
  5. Step 5: Solve for x
    x = 143,449,177.50/19,497
  6. Step 6: Final answer
    x = 7,357.50

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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.