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Finding the Fourth Proportional to 6,574.36, 9,862.74 and 2,191.40

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Solution

The fourth proportional to 6,574.36, 9,862.74 and 2,191.40 is: 3,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.36 : 9,862.74 = 2,191.40 : x
  2. Step 2: Convert to fraction form
    6,574.36/9,862.74 = 2,191.40/x
  3. Step 3: Cross multiply
    6,574.36x = 9,862.74 × 2,191.40
  4. Step 4: Simplify right side
    6,574.36x = 21,613,208.44
  5. Step 5: Solve for x
    x = 21,613,208.44/6,574.36
  6. Step 6: Final answer
    x = 3,287.50

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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.