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Finding the Fourth Proportional to 10,897.97, 16,352.48 and 4,974.20

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Solution

The fourth proportional to 10,897.97, 16,352.48 and 4,974.20 is: 7,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.97 : 16,352.48 = 4,974.20 : x
  2. Step 2: Convert to fraction form
    10,897.97/16,352.48 = 4,974.20/x
  3. Step 3: Cross multiply
    10,897.97x = 16,352.48 × 4,974.20
  4. Step 4: Simplify right side
    10,897.97x = 81,340,506.02
  5. Step 5: Solve for x
    x = 81,340,506.02/10,897.97
  6. Step 6: Final answer
    x = 7,463.82

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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.