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Finding the Fourth Proportional to 6,357.30, 9,536.97 and 3,070.64

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Solution

The fourth proportional to 6,357.30, 9,536.97 and 3,070.64 is: 4,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.30 : 9,536.97 = 3,070.64 : x
  2. Step 2: Convert to fraction form
    6,357.30/9,536.97 = 3,070.64/x
  3. Step 3: Cross multiply
    6,357.30x = 9,536.97 × 3,070.64
  4. Step 4: Simplify right side
    6,357.30x = 29,284,636.92
  5. Step 5: Solve for x
    x = 29,284,636.92/6,357.30
  6. Step 6: Final answer
    x = 4,606.46

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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.