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Finding the Fourth Proportional to 12,857.36, 17,742.91 and 7,268.36

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Solution

The fourth proportional to 12,857.36, 17,742.91 and 7,268.36 is: 10,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.36 : 17,742.91 = 7,268.36 : x
  2. Step 2: Convert to fraction form
    12,857.36/17,742.91 = 7,268.36/x
  3. Step 3: Cross multiply
    12,857.36x = 17,742.91 × 7,268.36
  4. Step 4: Simplify right side
    12,857.36x = 128,961,857.33
  5. Step 5: Solve for x
    x = 128,961,857.33/12,857.36
  6. Step 6: Final answer
    x = 10,030.20

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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.