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Finding the Fourth Proportional to 7,756.77, 10,704.78 and 4,219.92

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Solution

The fourth proportional to 7,756.77, 10,704.78 and 4,219.92 is: 5,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.77 : 10,704.78 = 4,219.92 : x
  2. Step 2: Convert to fraction form
    7,756.77/10,704.78 = 4,219.92/x
  3. Step 3: Cross multiply
    7,756.77x = 10,704.78 × 4,219.92
  4. Step 4: Simplify right side
    7,756.77x = 45,173,315.22
  5. Step 5: Solve for x
    x = 45,173,315.22/7,756.77
  6. Step 6: Final answer
    x = 5,823.73

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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.