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Finding the Fourth Proportional to 12,805.76, 17,673.44 and 7,217.76

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Solution

The fourth proportional to 12,805.76, 17,673.44 and 7,217.76 is: 9,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.76 : 17,673.44 = 7,217.76 : x
  2. Step 2: Convert to fraction form
    12,805.76/17,673.44 = 7,217.76/x
  3. Step 3: Cross multiply
    12,805.76x = 17,673.44 × 7,217.76
  4. Step 4: Simplify right side
    12,805.76x = 127,562,648.29
  5. Step 5: Solve for x
    x = 127,562,648.29/12,805.76
  6. Step 6: Final answer
    x = 9,961.35

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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.