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Finding the Fourth Proportional to 7,614, 10,497.24 and 5,822.64

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Solution

The fourth proportional to 7,614, 10,497.24 and 5,822.64 is: 8,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614 : 10,497.24 = 5,822.64 : x
  2. Step 2: Convert to fraction form
    7,614/10,497.24 = 5,822.64/x
  3. Step 3: Cross multiply
    7,614x = 10,497.24 × 5,822.64
  4. Step 4: Simplify right side
    7,614x = 61,121,649.51
  5. Step 5: Solve for x
    x = 61,121,649.51/7,614
  6. Step 6: Final answer
    x = 8,027.53

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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.