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Finding the Fourth Proportional to 6,222.50, 9,332.28 and 1,780.03

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Solution

The fourth proportional to 6,222.50, 9,332.28 and 1,780.03 is: 2,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.50 : 9,332.28 = 1,780.03 : x
  2. Step 2: Convert to fraction form
    6,222.50/9,332.28 = 1,780.03/x
  3. Step 3: Cross multiply
    6,222.50x = 9,332.28 × 1,780.03
  4. Step 4: Simplify right side
    6,222.50x = 16,611,729.20
  5. Step 5: Solve for x
    x = 16,611,729.20/6,222.50
  6. Step 6: Final answer
    x = 2,669.62

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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.