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Finding the Fourth Proportional to 7,952.63, 11,926.67 and 3,208.82

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Solution

The fourth proportional to 7,952.63, 11,926.67 and 3,208.82 is: 4,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.63 : 11,926.67 = 3,208.82 : x
  2. Step 2: Convert to fraction form
    7,952.63/11,926.67 = 3,208.82/x
  3. Step 3: Cross multiply
    7,952.63x = 11,926.67 × 3,208.82
  4. Step 4: Simplify right side
    7,952.63x = 38,270,461.55
  5. Step 5: Solve for x
    x = 38,270,461.55/7,952.63
  6. Step 6: Final answer
    x = 4,812.31

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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.