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Finding the Fourth Proportional to 7,227.63, 10,780.70 and 6,563.23

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Solution

The fourth proportional to 7,227.63, 10,780.70 and 6,563.23 is: 9,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.63 : 10,780.70 = 6,563.23 : x
  2. Step 2: Convert to fraction form
    7,227.63/10,780.70 = 6,563.23/x
  3. Step 3: Cross multiply
    7,227.63x = 10,780.70 × 6,563.23
  4. Step 4: Simplify right side
    7,227.63x = 70,756,153.89
  5. Step 5: Solve for x
    x = 70,756,153.89/7,227.63
  6. Step 6: Final answer
    x = 9,789.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.