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Finding the Fourth Proportional to 8,734, 12,044.94 and 6,501.52

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Solution

The fourth proportional to 8,734, 12,044.94 and 6,501.52 is: 8,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734 : 12,044.94 = 6,501.52 : x
  2. Step 2: Convert to fraction form
    8,734/12,044.94 = 6,501.52/x
  3. Step 3: Cross multiply
    8,734x = 12,044.94 × 6,501.52
  4. Step 4: Simplify right side
    8,734x = 78,310,418.31
  5. Step 5: Solve for x
    x = 78,310,418.31/8,734
  6. Step 6: Final answer
    x = 8,966.16

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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.