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Finding the Fourth Proportional to 6,737.76, 9,278.76 and 5,785.92

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Solution

The fourth proportional to 6,737.76, 9,278.76 and 5,785.92 is: 7,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.76 : 9,278.76 = 5,785.92 : x
  2. Step 2: Convert to fraction form
    6,737.76/9,278.76 = 5,785.92/x
  3. Step 3: Cross multiply
    6,737.76x = 9,278.76 × 5,785.92
  4. Step 4: Simplify right side
    6,737.76x = 53,686,163.06
  5. Step 5: Solve for x
    x = 53,686,163.06/6,737.76
  6. Step 6: Final answer
    x = 7,967.95

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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.