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Finding the Fourth Proportional to 12,606.09, 17,396.24 and 7,017.09

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Solution

The fourth proportional to 12,606.09, 17,396.24 and 7,017.09 is: 9,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.09 : 17,396.24 = 7,017.09 : x
  2. Step 2: Convert to fraction form
    12,606.09/17,396.24 = 7,017.09/x
  3. Step 3: Cross multiply
    12,606.09x = 17,396.24 × 7,017.09
  4. Step 4: Simplify right side
    12,606.09x = 122,070,946.66
  5. Step 5: Solve for x
    x = 122,070,946.66/12,606.09
  6. Step 6: Final answer
    x = 9,683.49

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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.