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Finding the Fourth Proportional to 6,525.23, 9,785.46 and 2,364.24

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Solution

The fourth proportional to 6,525.23, 9,785.46 and 2,364.24 is: 3,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.23 : 9,785.46 = 2,364.24 : x
  2. Step 2: Convert to fraction form
    6,525.23/9,785.46 = 2,364.24/x
  3. Step 3: Cross multiply
    6,525.23x = 9,785.46 × 2,364.24
  4. Step 4: Simplify right side
    6,525.23x = 23,135,153.17
  5. Step 5: Solve for x
    x = 23,135,153.17/6,525.23
  6. Step 6: Final answer
    x = 3,545.49

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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.