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Finding the Fourth Proportional to 7,750.70, 10,695.62 and 4,213.82

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Solution

The fourth proportional to 7,750.70, 10,695.62 and 4,213.82 is: 5,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.70 : 10,695.62 = 4,213.82 : x
  2. Step 2: Convert to fraction form
    7,750.70/10,695.62 = 4,213.82/x
  3. Step 3: Cross multiply
    7,750.70x = 10,695.62 × 4,213.82
  4. Step 4: Simplify right side
    7,750.70x = 45,069,417.47
  5. Step 5: Solve for x
    x = 45,069,417.47/7,750.70
  6. Step 6: Final answer
    x = 5,814.88

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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.