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Finding the Fourth Proportional to 12,322.13, 17,005.14 and 7,017.44

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Solution

The fourth proportional to 12,322.13, 17,005.14 and 7,017.44 is: 9,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.13 : 17,005.14 = 7,017.44 : x
  2. Step 2: Convert to fraction form
    12,322.13/17,005.14 = 7,017.44/x
  3. Step 3: Cross multiply
    12,322.13x = 17,005.14 × 7,017.44
  4. Step 4: Simplify right side
    12,322.13x = 119,332,464.62
  5. Step 5: Solve for x
    x = 119,332,464.62/12,322.13
  6. Step 6: Final answer
    x = 9,684.41

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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.