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Finding the Fourth Proportional to 6,275.49, 9,449.91 and 4,643.52

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Solution

The fourth proportional to 6,275.49, 9,449.91 and 4,643.52 is: 6,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.49 : 9,449.91 = 4,643.52 : x
  2. Step 2: Convert to fraction form
    6,275.49/9,449.91 = 4,643.52/x
  3. Step 3: Cross multiply
    6,275.49x = 9,449.91 × 4,643.52
  4. Step 4: Simplify right side
    6,275.49x = 43,880,846.08
  5. Step 5: Solve for x
    x = 43,880,846.08/6,275.49
  6. Step 6: Final answer
    x = 6,992.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.