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Finding the Fourth Proportional to 7,750.34, 10,695.49 and 4,213.55

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Solution

The fourth proportional to 7,750.34, 10,695.49 and 4,213.55 is: 5,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.34 : 10,695.49 = 4,213.55 : x
  2. Step 2: Convert to fraction form
    7,750.34/10,695.49 = 4,213.55/x
  3. Step 3: Cross multiply
    7,750.34x = 10,695.49 × 4,213.55
  4. Step 4: Simplify right side
    7,750.34x = 45,065,917.88
  5. Step 5: Solve for x
    x = 45,065,917.88/7,750.34
  6. Step 6: Final answer
    x = 5,814.70

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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.