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Finding the Fourth Proportional to 9,682.71, 14,530.53 and 3,526.71

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Solution

The fourth proportional to 9,682.71, 14,530.53 and 3,526.71 is: 5,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.71 : 14,530.53 = 3,526.71 : x
  2. Step 2: Convert to fraction form
    9,682.71/14,530.53 = 3,526.71/x
  3. Step 3: Cross multiply
    9,682.71x = 14,530.53 × 3,526.71
  4. Step 4: Simplify right side
    9,682.71x = 51,244,965.46
  5. Step 5: Solve for x
    x = 51,244,965.46/9,682.71
  6. Step 6: Final answer
    x = 5,292.42

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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.