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Finding the Fourth Proportional to 7,725.87, 11,566.72 and 7,235.43

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Solution

The fourth proportional to 7,725.87, 11,566.72 and 7,235.43 is: 10,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.87 : 11,566.72 = 7,235.43 : x
  2. Step 2: Convert to fraction form
    7,725.87/11,566.72 = 7,235.43/x
  3. Step 3: Cross multiply
    7,725.87x = 11,566.72 × 7,235.43
  4. Step 4: Simplify right side
    7,725.87x = 83,690,192.89
  5. Step 5: Solve for x
    x = 83,690,192.89/7,725.87
  6. Step 6: Final answer
    x = 10,832.46

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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.