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Finding the Fourth Proportional to 12,845, 17,727.54 and 7,256.36

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Solution

The fourth proportional to 12,845, 17,727.54 and 7,256.36 is: 10,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845 : 17,727.54 = 7,256.36 : x
  2. Step 2: Convert to fraction form
    12,845/17,727.54 = 7,256.36/x
  3. Step 3: Cross multiply
    12,845x = 17,727.54 × 7,256.36
  4. Step 4: Simplify right side
    12,845x = 128,637,412.15
  5. Step 5: Solve for x
    x = 128,637,412.15/12,845
  6. Step 6: Final answer
    x = 10,014.59

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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.