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Finding the Fourth Proportional to 10,571.72, 15,856.65 and 6,410.50

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Solution

The fourth proportional to 10,571.72, 15,856.65 and 6,410.50 is: 9,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.72 : 15,856.65 = 6,410.50 : x
  2. Step 2: Convert to fraction form
    10,571.72/15,856.65 = 6,410.50/x
  3. Step 3: Cross multiply
    10,571.72x = 15,856.65 × 6,410.50
  4. Step 4: Simplify right side
    10,571.72x = 101,649,054.83
  5. Step 5: Solve for x
    x = 101,649,054.83/10,571.72
  6. Step 6: Final answer
    x = 9,615.19

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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.