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Finding the Fourth Proportional to 27,634.52, 41,451.65 and 7,913.07

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Solution

The fourth proportional to 27,634.52, 41,451.65 and 7,913.07 is: 11,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.52 : 41,451.65 = 7,913.07 : x
  2. Step 2: Convert to fraction form
    27,634.52/41,451.65 = 7,913.07/x
  3. Step 3: Cross multiply
    27,634.52x = 41,451.65 × 7,913.07
  4. Step 4: Simplify right side
    27,634.52x = 328,009,808.07
  5. Step 5: Solve for x
    x = 328,009,808.07/27,634.52
  6. Step 6: Final answer
    x = 11,869.57

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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.