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Finding the Fourth Proportional to 12,703.75, 17,534.87 and 8,227.33

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Solution

The fourth proportional to 12,703.75, 17,534.87 and 8,227.33 is: 11,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.75 : 17,534.87 = 8,227.33 : x
  2. Step 2: Convert to fraction form
    12,703.75/17,534.87 = 8,227.33/x
  3. Step 3: Cross multiply
    12,703.75x = 17,534.87 × 8,227.33
  4. Step 4: Simplify right side
    12,703.75x = 144,265,094.89
  5. Step 5: Solve for x
    x = 144,265,094.89/12,703.75
  6. Step 6: Final answer
    x = 11,356.11

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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.