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Finding the Fourth Proportional to 6,505.29, 9,757.95 and 1,574.91

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Solution

The fourth proportional to 6,505.29, 9,757.95 and 1,574.91 is: 2,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.29 : 9,757.95 = 1,574.91 : x
  2. Step 2: Convert to fraction form
    6,505.29/9,757.95 = 1,574.91/x
  3. Step 3: Cross multiply
    6,505.29x = 9,757.95 × 1,574.91
  4. Step 4: Simplify right side
    6,505.29x = 15,367,893.03
  5. Step 5: Solve for x
    x = 15,367,893.03/6,505.29
  6. Step 6: Final answer
    x = 2,362.37

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