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Finding the Fourth Proportional to 6,538.72, 9,807.54 and 3,028

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Solution

The fourth proportional to 6,538.72, 9,807.54 and 3,028 is: 4,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.72 : 9,807.54 = 3,028 : x
  2. Step 2: Convert to fraction form
    6,538.72/9,807.54 = 3,028/x
  3. Step 3: Cross multiply
    6,538.72x = 9,807.54 × 3,028
  4. Step 4: Simplify right side
    6,538.72x = 29,697,231.12
  5. Step 5: Solve for x
    x = 29,697,231.12/6,538.72
  6. Step 6: Final answer
    x = 4,541.75

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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.