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Finding the Fourth Proportional to 9,822.50, 14,736.45 and 2,897

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Solution

The fourth proportional to 9,822.50, 14,736.45 and 2,897 is: 4,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.50 : 14,736.45 = 2,897 : x
  2. Step 2: Convert to fraction form
    9,822.50/14,736.45 = 2,897/x
  3. Step 3: Cross multiply
    9,822.50x = 14,736.45 × 2,897
  4. Step 4: Simplify right side
    9,822.50x = 42,691,495.65
  5. Step 5: Solve for x
    x = 42,691,495.65/9,822.50
  6. Step 6: Final answer
    x = 4,346.30

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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.