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Finding the Fourth Proportional to 6,460.58, 9,695.73 and 4,375.64

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Solution

The fourth proportional to 6,460.58, 9,695.73 and 4,375.64 is: 6,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.58 : 9,695.73 = 4,375.64 : x
  2. Step 2: Convert to fraction form
    6,460.58/9,695.73 = 4,375.64/x
  3. Step 3: Cross multiply
    6,460.58x = 9,695.73 × 4,375.64
  4. Step 4: Simplify right side
    6,460.58x = 42,424,975.54
  5. Step 5: Solve for x
    x = 42,424,975.54/6,460.58
  6. Step 6: Final answer
    x = 6,566.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.