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Finding the Fourth Proportional to 10,869.69, 16,304.03 and 6,369.26

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Solution

The fourth proportional to 10,869.69, 16,304.03 and 6,369.26 is: 9,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.69 : 16,304.03 = 6,369.26 : x
  2. Step 2: Convert to fraction form
    10,869.69/16,304.03 = 6,369.26/x
  3. Step 3: Cross multiply
    10,869.69x = 16,304.03 × 6,369.26
  4. Step 4: Simplify right side
    10,869.69x = 103,844,598.32
  5. Step 5: Solve for x
    x = 103,844,598.32/10,869.69
  6. Step 6: Final answer
    x = 9,553.59

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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.