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Finding the Fourth Proportional to 11,874.94, 16,386.31 and 6,569.64

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Solution

The fourth proportional to 11,874.94, 16,386.31 and 6,569.64 is: 9,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.94 : 16,386.31 = 6,569.64 : x
  2. Step 2: Convert to fraction form
    11,874.94/16,386.31 = 6,569.64/x
  3. Step 3: Cross multiply
    11,874.94x = 16,386.31 × 6,569.64
  4. Step 4: Simplify right side
    11,874.94x = 107,652,157.63
  5. Step 5: Solve for x
    x = 107,652,157.63/11,874.94
  6. Step 6: Final answer
    x = 9,065.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.