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Finding the Fourth Proportional to 7,233, 9,978.60 and 4,875.92

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Solution

The fourth proportional to 7,233, 9,978.60 and 4,875.92 is: 6,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233 : 9,978.60 = 4,875.92 : x
  2. Step 2: Convert to fraction form
    7,233/9,978.60 = 4,875.92/x
  3. Step 3: Cross multiply
    7,233x = 9,978.60 × 4,875.92
  4. Step 4: Simplify right side
    7,233x = 48,654,855.31
  5. Step 5: Solve for x
    x = 48,654,855.31/7,233
  6. Step 6: Final answer
    x = 6,726.79

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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.