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Finding the Fourth Proportional to 6,502.25, 8,973.24 and 3,848.69

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Solution

The fourth proportional to 6,502.25, 8,973.24 and 3,848.69 is: 5,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.25 : 8,973.24 = 3,848.69 : x
  2. Step 2: Convert to fraction form
    6,502.25/8,973.24 = 3,848.69/x
  3. Step 3: Cross multiply
    6,502.25x = 8,973.24 × 3,848.69
  4. Step 4: Simplify right side
    6,502.25x = 34,535,219.06
  5. Step 5: Solve for x
    x = 34,535,219.06/6,502.25
  6. Step 6: Final answer
    x = 5,311.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.