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Finding the Fourth Proportional to 6,326.76, 9,488.47 and 1,883.23

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Solution

The fourth proportional to 6,326.76, 9,488.47 and 1,883.23 is: 2,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.76 : 9,488.47 = 1,883.23 : x
  2. Step 2: Convert to fraction form
    6,326.76/9,488.47 = 1,883.23/x
  3. Step 3: Cross multiply
    6,326.76x = 9,488.47 × 1,883.23
  4. Step 4: Simplify right side
    6,326.76x = 17,868,914.50
  5. Step 5: Solve for x
    x = 17,868,914.50/6,326.76
  6. Step 6: Final answer
    x = 2,824.34

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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.