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Finding the Fourth Proportional to 7,756.54, 10,704.27 and 4,219.75

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Solution

The fourth proportional to 7,756.54, 10,704.27 and 4,219.75 is: 5,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.54 : 10,704.27 = 4,219.75 : x
  2. Step 2: Convert to fraction form
    7,756.54/10,704.27 = 4,219.75/x
  3. Step 3: Cross multiply
    7,756.54x = 10,704.27 × 4,219.75
  4. Step 4: Simplify right side
    7,756.54x = 45,169,288.59
  5. Step 5: Solve for x
    x = 45,169,288.59/7,756.54
  6. Step 6: Final answer
    x = 5,823.38

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Half scale
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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.