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Finding the Fourth Proportional to 10,775.76, 16,163.61 and 4,928.28

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Solution

The fourth proportional to 10,775.76, 16,163.61 and 4,928.28 is: 7,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.76 : 16,163.61 = 4,928.28 : x
  2. Step 2: Convert to fraction form
    10,775.76/16,163.61 = 4,928.28/x
  3. Step 3: Cross multiply
    10,775.76x = 16,163.61 × 4,928.28
  4. Step 4: Simplify right side
    10,775.76x = 79,658,795.89
  5. Step 5: Solve for x
    x = 79,658,795.89/10,775.76
  6. Step 6: Final answer
    x = 7,392.41

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1.5x scale

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.