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Finding the Fourth Proportional to 6,965.94, 9,625.45 and 5,180.63

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Solution

The fourth proportional to 6,965.94, 9,625.45 and 5,180.63 is: 7,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.94 : 9,625.45 = 5,180.63 : x
  2. Step 2: Convert to fraction form
    6,965.94/9,625.45 = 5,180.63/x
  3. Step 3: Cross multiply
    6,965.94x = 9,625.45 × 5,180.63
  4. Step 4: Simplify right side
    6,965.94x = 49,865,858.51
  5. Step 5: Solve for x
    x = 49,865,858.51/6,965.94
  6. Step 6: Final answer
    x = 7,158.53

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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.