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Finding the Fourth Proportional to 8,173, 11,282.52 and 5,031.28

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Solution

The fourth proportional to 8,173, 11,282.52 and 5,031.28 is: 6,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173 : 11,282.52 = 5,031.28 : x
  2. Step 2: Convert to fraction form
    8,173/11,282.52 = 5,031.28/x
  3. Step 3: Cross multiply
    8,173x = 11,282.52 × 5,031.28
  4. Step 4: Simplify right side
    8,173x = 56,765,517.23
  5. Step 5: Solve for x
    x = 56,765,517.23/8,173
  6. Step 6: Final answer
    x = 6,945.49

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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.