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Finding the Fourth Proportional to 12,684.25, 17,504.27 and 7,095.25

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Solution

The fourth proportional to 12,684.25, 17,504.27 and 7,095.25 is: 9,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.25 : 17,504.27 = 7,095.25 : x
  2. Step 2: Convert to fraction form
    12,684.25/17,504.27 = 7,095.25/x
  3. Step 3: Cross multiply
    12,684.25x = 17,504.27 × 7,095.25
  4. Step 4: Simplify right side
    12,684.25x = 124,197,136.24
  5. Step 5: Solve for x
    x = 124,197,136.24/12,684.25
  6. Step 6: Final answer
    x = 9,791.45

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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.