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Finding the Fourth Proportional to 11,966.25, 17,950.10 and 3,758.25

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Solution

The fourth proportional to 11,966.25, 17,950.10 and 3,758.25 is: 5,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.25 : 17,950.10 = 3,758.25 : x
  2. Step 2: Convert to fraction form
    11,966.25/17,950.10 = 3,758.25/x
  3. Step 3: Cross multiply
    11,966.25x = 17,950.10 × 3,758.25
  4. Step 4: Simplify right side
    11,966.25x = 67,460,963.33
  5. Step 5: Solve for x
    x = 67,460,963.33/11,966.25
  6. Step 6: Final answer
    x = 5,637.60

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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.