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Finding the Fourth Proportional to 11,265, 15,546.24 and 6,297

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Solution

The fourth proportional to 11,265, 15,546.24 and 6,297 is: 8,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265 : 15,546.24 = 6,297 : x
  2. Step 2: Convert to fraction form
    11,265/15,546.24 = 6,297/x
  3. Step 3: Cross multiply
    11,265x = 15,546.24 × 6,297
  4. Step 4: Simplify right side
    11,265x = 97,894,673.28
  5. Step 5: Solve for x
    x = 97,894,673.28/11,265
  6. Step 6: Final answer
    x = 8,690.16

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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.