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Finding the Fourth Proportional to 6,513.44, 8,984.36 and 4,275.47

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Solution

The fourth proportional to 6,513.44, 8,984.36 and 4,275.47 is: 5,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.44 : 8,984.36 = 4,275.47 : x
  2. Step 2: Convert to fraction form
    6,513.44/8,984.36 = 4,275.47/x
  3. Step 3: Cross multiply
    6,513.44x = 8,984.36 × 4,275.47
  4. Step 4: Simplify right side
    6,513.44x = 38,412,295.35
  5. Step 5: Solve for x
    x = 38,412,295.35/6,513.44
  6. Step 6: Final answer
    x = 5,897.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.