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Finding the Fourth Proportional to 7,077.76, 9,767.46 and 3,933.88

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Solution

The fourth proportional to 7,077.76, 9,767.46 and 3,933.88 is: 5,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.76 : 9,767.46 = 3,933.88 : x
  2. Step 2: Convert to fraction form
    7,077.76/9,767.46 = 3,933.88/x
  3. Step 3: Cross multiply
    7,077.76x = 9,767.46 × 3,933.88
  4. Step 4: Simplify right side
    7,077.76x = 38,424,015.54
  5. Step 5: Solve for x
    x = 38,424,015.54/7,077.76
  6. Step 6: Final answer
    x = 5,428.84

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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.