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Finding the Fourth Proportional to 12,773.16, 17,626.68 and 7,107.66

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Solution

The fourth proportional to 12,773.16, 17,626.68 and 7,107.66 is: 9,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.16 : 17,626.68 = 7,107.66 : x
  2. Step 2: Convert to fraction form
    12,773.16/17,626.68 = 7,107.66/x
  3. Step 3: Cross multiply
    12,773.16x = 17,626.68 × 7,107.66
  4. Step 4: Simplify right side
    12,773.16x = 125,284,448.37
  5. Step 5: Solve for x
    x = 125,284,448.37/12,773.16
  6. Step 6: Final answer
    x = 9,808.41

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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.