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Finding the Fourth Proportional to 6,447.16, 9,669.17 and 2,696.91

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Solution

The fourth proportional to 6,447.16, 9,669.17 and 2,696.91 is: 4,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.16 : 9,669.17 = 2,696.91 : x
  2. Step 2: Convert to fraction form
    6,447.16/9,669.17 = 2,696.91/x
  3. Step 3: Cross multiply
    6,447.16x = 9,669.17 × 2,696.91
  4. Step 4: Simplify right side
    6,447.16x = 26,076,831.52
  5. Step 5: Solve for x
    x = 26,076,831.52/6,447.16
  6. Step 6: Final answer
    x = 4,044.70

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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.