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Finding the Fourth Proportional to 7,967.57, 11,950.90 and 3,810.45

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Solution

The fourth proportional to 7,967.57, 11,950.90 and 3,810.45 is: 5,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.57 : 11,950.90 = 3,810.45 : x
  2. Step 2: Convert to fraction form
    7,967.57/11,950.90 = 3,810.45/x
  3. Step 3: Cross multiply
    7,967.57x = 11,950.90 × 3,810.45
  4. Step 4: Simplify right side
    7,967.57x = 45,538,306.91
  5. Step 5: Solve for x
    x = 45,538,306.91/7,967.57
  6. Step 6: Final answer
    x = 5,715.46

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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.