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Finding the Fourth Proportional to 8,697.40, 13,046.09 and 2,123.50

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Solution

The fourth proportional to 8,697.40, 13,046.09 and 2,123.50 is: 3,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.40 : 13,046.09 = 2,123.50 : x
  2. Step 2: Convert to fraction form
    8,697.40/13,046.09 = 2,123.50/x
  3. Step 3: Cross multiply
    8,697.40x = 13,046.09 × 2,123.50
  4. Step 4: Simplify right side
    8,697.40x = 27,703,372.12
  5. Step 5: Solve for x
    x = 27,703,372.12/8,697.40
  6. Step 6: Final answer
    x = 3,185.25

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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.