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Finding the Fourth Proportional to 6,700.76, 9,247.20 and 3,716.50

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Solution

The fourth proportional to 6,700.76, 9,247.20 and 3,716.50 is: 5,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.76 : 9,247.20 = 3,716.50 : x
  2. Step 2: Convert to fraction form
    6,700.76/9,247.20 = 3,716.50/x
  3. Step 3: Cross multiply
    6,700.76x = 9,247.20 × 3,716.50
  4. Step 4: Simplify right side
    6,700.76x = 34,367,153.98
  5. Step 5: Solve for x
    x = 34,367,153.98/6,700.76
  6. Step 6: Final answer
    x = 5,128.84

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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.