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Finding the Fourth Proportional to 12,265.74, 16,932.42 and 7,228.26

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Solution

The fourth proportional to 12,265.74, 16,932.42 and 7,228.26 is: 9,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.74 : 16,932.42 = 7,228.26 : x
  2. Step 2: Convert to fraction form
    12,265.74/16,932.42 = 7,228.26/x
  3. Step 3: Cross multiply
    12,265.74x = 16,932.42 × 7,228.26
  4. Step 4: Simplify right side
    12,265.74x = 122,391,934.19
  5. Step 5: Solve for x
    x = 122,391,934.19/12,265.74
  6. Step 6: Final answer
    x = 9,978.36

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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.