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Finding the Fourth Proportional to 6,507.44, 9,762.36 and 3,044.72

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Solution

The fourth proportional to 6,507.44, 9,762.36 and 3,044.72 is: 4,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.44 : 9,762.36 = 3,044.72 : x
  2. Step 2: Convert to fraction form
    6,507.44/9,762.36 = 3,044.72/x
  3. Step 3: Cross multiply
    6,507.44x = 9,762.36 × 3,044.72
  4. Step 4: Simplify right side
    6,507.44x = 29,723,652.74
  5. Step 5: Solve for x
    x = 29,723,652.74/6,507.44
  6. Step 6: Final answer
    x = 4,567.64

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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.