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Finding the Fourth Proportional to 6,509.71, 9,764.56 and 1,829.53

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Solution

The fourth proportional to 6,509.71, 9,764.56 and 1,829.53 is: 2,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.71 : 9,764.56 = 1,829.53 : x
  2. Step 2: Convert to fraction form
    6,509.71/9,764.56 = 1,829.53/x
  3. Step 3: Cross multiply
    6,509.71x = 9,764.56 × 1,829.53
  4. Step 4: Simplify right side
    6,509.71x = 17,864,506.63
  5. Step 5: Solve for x
    x = 17,864,506.63/6,509.71
  6. Step 6: Final answer
    x = 2,744.29

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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.