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Finding the Fourth Proportional to 7,575.73, 10,448.58 and 4,924

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Solution

The fourth proportional to 7,575.73, 10,448.58 and 4,924 is: 6,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.73 : 10,448.58 = 4,924 : x
  2. Step 2: Convert to fraction form
    7,575.73/10,448.58 = 4,924/x
  3. Step 3: Cross multiply
    7,575.73x = 10,448.58 × 4,924
  4. Step 4: Simplify right side
    7,575.73x = 51,448,807.92
  5. Step 5: Solve for x
    x = 51,448,807.92/7,575.73
  6. Step 6: Final answer
    x = 6,791.27

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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.