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Finding the Fourth Proportional to 7,571.68, 11,357.39 and 2,306.68

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Solution

The fourth proportional to 7,571.68, 11,357.39 and 2,306.68 is: 3,459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.68 : 11,357.39 = 2,306.68 : x
  2. Step 2: Convert to fraction form
    7,571.68/11,357.39 = 2,306.68/x
  3. Step 3: Cross multiply
    7,571.68x = 11,357.39 × 2,306.68
  4. Step 4: Simplify right side
    7,571.68x = 26,197,864.37
  5. Step 5: Solve for x
    x = 26,197,864.37/7,571.68
  6. Step 6: Final answer
    x = 3,459.98

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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.