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Finding the Fourth Proportional to 6,572.63, 9,858.38 and 2,412.47

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Solution

The fourth proportional to 6,572.63, 9,858.38 and 2,412.47 is: 3,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.63 : 9,858.38 = 2,412.47 : x
  2. Step 2: Convert to fraction form
    6,572.63/9,858.38 = 2,412.47/x
  3. Step 3: Cross multiply
    6,572.63x = 9,858.38 × 2,412.47
  4. Step 4: Simplify right side
    6,572.63x = 23,782,984.64
  5. Step 5: Solve for x
    x = 23,782,984.64/6,572.63
  6. Step 6: Final answer
    x = 3,618.49

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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.