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Finding the Fourth Proportional to 6,356.71, 9,536.33 and 1,973.98

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Solution

The fourth proportional to 6,356.71, 9,536.33 and 1,973.98 is: 2,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.71 : 9,536.33 = 1,973.98 : x
  2. Step 2: Convert to fraction form
    6,356.71/9,536.33 = 1,973.98/x
  3. Step 3: Cross multiply
    6,356.71x = 9,536.33 × 1,973.98
  4. Step 4: Simplify right side
    6,356.71x = 18,824,524.69
  5. Step 5: Solve for x
    x = 18,824,524.69/6,356.71
  6. Step 6: Final answer
    x = 2,961.36

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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.