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Finding the Fourth Proportional to 12,463.74, 17,194.68 and 7,986.06

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Solution

The fourth proportional to 12,463.74, 17,194.68 and 7,986.06 is: 11,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.74 : 17,194.68 = 7,986.06 : x
  2. Step 2: Convert to fraction form
    12,463.74/17,194.68 = 7,986.06/x
  3. Step 3: Cross multiply
    12,463.74x = 17,194.68 × 7,986.06
  4. Step 4: Simplify right side
    12,463.74x = 137,317,746.16
  5. Step 5: Solve for x
    x = 137,317,746.16/12,463.74
  6. Step 6: Final answer
    x = 11,017.38

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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.