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Finding the Fourth Proportional to 6,849.52, 9,435.94 and 6,516

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Solution

The fourth proportional to 6,849.52, 9,435.94 and 6,516 is: 8,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.52 : 9,435.94 = 6,516 : x
  2. Step 2: Convert to fraction form
    6,849.52/9,435.94 = 6,516/x
  3. Step 3: Cross multiply
    6,849.52x = 9,435.94 × 6,516
  4. Step 4: Simplify right side
    6,849.52x = 61,484,585.04
  5. Step 5: Solve for x
    x = 61,484,585.04/6,849.52
  6. Step 6: Final answer
    x = 8,976.48

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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.