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Finding the Fourth Proportional to 12,926.57, 17,846.14 and 8,458.11

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Solution

The fourth proportional to 12,926.57, 17,846.14 and 8,458.11 is: 11,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926.57 : 17,846.14 = 8,458.11 : x
  2. Step 2: Convert to fraction form
    12,926.57/17,846.14 = 8,458.11/x
  3. Step 3: Cross multiply
    12,926.57x = 17,846.14 × 8,458.11
  4. Step 4: Simplify right side
    12,926.57x = 150,944,575.89
  5. Step 5: Solve for x
    x = 150,944,575.89/12,926.57
  6. Step 6: Final answer
    x = 11,677.08

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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.