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Finding the Fourth Proportional to 7,225.65, 10,786.73 and 6,711.75

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Solution

The fourth proportional to 7,225.65, 10,786.73 and 6,711.75 is: 10,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.65 : 10,786.73 = 6,711.75 : x
  2. Step 2: Convert to fraction form
    7,225.65/10,786.73 = 6,711.75/x
  3. Step 3: Cross multiply
    7,225.65x = 10,786.73 × 6,711.75
  4. Step 4: Simplify right side
    7,225.65x = 72,397,801.52
  5. Step 5: Solve for x
    x = 72,397,801.52/7,225.65
  6. Step 6: Final answer
    x = 10,019.56

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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.