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Finding the Fourth Proportional to 7,750.46, 10,695.59 and 4,213.67

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Solution

The fourth proportional to 7,750.46, 10,695.59 and 4,213.67 is: 5,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.46 : 10,695.59 = 4,213.67 : x
  2. Step 2: Convert to fraction form
    7,750.46/10,695.59 = 4,213.67/x
  3. Step 3: Cross multiply
    7,750.46x = 10,695.59 × 4,213.67
  4. Step 4: Simplify right side
    7,750.46x = 45,067,711.83
  5. Step 5: Solve for x
    x = 45,067,711.83/7,750.46
  6. Step 6: Final answer
    x = 5,814.84

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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.