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Finding the Fourth Proportional to 9,769.84, 14,656.81 and 3,195.51

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Solution

The fourth proportional to 9,769.84, 14,656.81 and 3,195.51 is: 4,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.84 : 14,656.81 = 3,195.51 : x
  2. Step 2: Convert to fraction form
    9,769.84/14,656.81 = 3,195.51/x
  3. Step 3: Cross multiply
    9,769.84x = 14,656.81 × 3,195.51
  4. Step 4: Simplify right side
    9,769.84x = 46,835,997.25
  5. Step 5: Solve for x
    x = 46,835,997.25/9,769.84
  6. Step 6: Final answer
    x = 4,793.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.