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Finding the Fourth Proportional to 17,046.40, 25,559.16 and 6,646

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Solution

The fourth proportional to 17,046.40, 25,559.16 and 6,646 is: 9,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046.40 : 25,559.16 = 6,646 : x
  2. Step 2: Convert to fraction form
    17,046.40/25,559.16 = 6,646/x
  3. Step 3: Cross multiply
    17,046.40x = 25,559.16 × 6,646
  4. Step 4: Simplify right side
    17,046.40x = 169,866,177.36
  5. Step 5: Solve for x
    x = 169,866,177.36/17,046.40
  6. Step 6: Final answer
    x = 9,964.93

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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.