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Finding the Fourth Proportional to 7,738.28, 11,612.68 and 7,277.39

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Solution

The fourth proportional to 7,738.28, 11,612.68 and 7,277.39 is: 10,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.28 : 11,612.68 = 7,277.39 : x
  2. Step 2: Convert to fraction form
    7,738.28/11,612.68 = 7,277.39/x
  3. Step 3: Cross multiply
    7,738.28x = 11,612.68 × 7,277.39
  4. Step 4: Simplify right side
    7,738.28x = 84,509,925.05
  5. Step 5: Solve for x
    x = 84,509,925.05/7,738.28
  6. Step 6: Final answer
    x = 10,921.03

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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.