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Finding the Fourth Proportional to 17,047.40, 25,560.66 and 6,647

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Solution

The fourth proportional to 17,047.40, 25,560.66 and 6,647 is: 9,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.40 : 25,560.66 = 6,647 : x
  2. Step 2: Convert to fraction form
    17,047.40/25,560.66 = 6,647/x
  3. Step 3: Cross multiply
    17,047.40x = 25,560.66 × 6,647
  4. Step 4: Simplify right side
    17,047.40x = 169,901,707.02
  5. Step 5: Solve for x
    x = 169,901,707.02/17,047.40
  6. Step 6: Final answer
    x = 9,966.43

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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.