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Finding the Fourth Proportional to 12,776.75, 17,629.26 and 7,470.54

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Solution

The fourth proportional to 12,776.75, 17,629.26 and 7,470.54 is: 10,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.75 : 17,629.26 = 7,470.54 : x
  2. Step 2: Convert to fraction form
    12,776.75/17,629.26 = 7,470.54/x
  3. Step 3: Cross multiply
    12,776.75x = 17,629.26 × 7,470.54
  4. Step 4: Simplify right side
    12,776.75x = 131,700,092.00
  5. Step 5: Solve for x
    x = 131,700,092.00/12,776.75
  6. Step 6: Final answer
    x = 10,307.79

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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.