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Finding the Fourth Proportional to 10,157.93, 15,230.73 and 6,643.69

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Solution

The fourth proportional to 10,157.93, 15,230.73 and 6,643.69 is: 9,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.93 : 15,230.73 = 6,643.69 : x
  2. Step 2: Convert to fraction form
    10,157.93/15,230.73 = 6,643.69/x
  3. Step 3: Cross multiply
    10,157.93x = 15,230.73 × 6,643.69
  4. Step 4: Simplify right side
    10,157.93x = 101,188,248.59
  5. Step 5: Solve for x
    x = 101,188,248.59/10,157.93
  6. Step 6: Final answer
    x = 9,961.50

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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.