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Finding the Fourth Proportional to 6,695.44, 9,229.46 and 4,700.40

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Solution

The fourth proportional to 6,695.44, 9,229.46 and 4,700.40 is: 6,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.44 : 9,229.46 = 4,700.40 : x
  2. Step 2: Convert to fraction form
    6,695.44/9,229.46 = 4,700.40/x
  3. Step 3: Cross multiply
    6,695.44x = 9,229.46 × 4,700.40
  4. Step 4: Simplify right side
    6,695.44x = 43,382,153.78
  5. Step 5: Solve for x
    x = 43,382,153.78/6,695.44
  6. Step 6: Final answer
    x = 6,479.36

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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.