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Finding the Fourth Proportional to 6,502.04, 8,969.64 and 3,848.48

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Solution

The fourth proportional to 6,502.04, 8,969.64 and 3,848.48 is: 5,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.04 : 8,969.64 = 3,848.48 : x
  2. Step 2: Convert to fraction form
    6,502.04/8,969.64 = 3,848.48/x
  3. Step 3: Cross multiply
    6,502.04x = 8,969.64 × 3,848.48
  4. Step 4: Simplify right side
    6,502.04x = 34,519,480.15
  5. Step 5: Solve for x
    x = 34,519,480.15/6,502.04
  6. Step 6: Final answer
    x = 5,309.02

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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.