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Finding the Fourth Proportional to 8,646.82, 11,953.81 and 8,567.84

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Solution

The fourth proportional to 8,646.82, 11,953.81 and 8,567.84 is: 11,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.82 : 11,953.81 = 8,567.84 : x
  2. Step 2: Convert to fraction form
    8,646.82/11,953.81 = 8,567.84/x
  3. Step 3: Cross multiply
    8,646.82x = 11,953.81 × 8,567.84
  4. Step 4: Simplify right side
    8,646.82x = 102,418,372.06
  5. Step 5: Solve for x
    x = 102,418,372.06/8,646.82
  6. Step 6: Final answer
    x = 11,844.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.