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Finding the Fourth Proportional to 11,265.03, 15,546.69 and 6,549

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Solution

The fourth proportional to 11,265.03, 15,546.69 and 6,549 is: 9,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.03 : 15,546.69 = 6,549 : x
  2. Step 2: Convert to fraction form
    11,265.03/15,546.69 = 6,549/x
  3. Step 3: Cross multiply
    11,265.03x = 15,546.69 × 6,549
  4. Step 4: Simplify right side
    11,265.03x = 101,815,272.81
  5. Step 5: Solve for x
    x = 101,815,272.81/11,265.03
  6. Step 6: Final answer
    x = 9,038.17

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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.