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Finding the Fourth Proportional to 10,256, 14,153.28 and 6,532.16

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Solution

The fourth proportional to 10,256, 14,153.28 and 6,532.16 is: 9,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 14,153.28 = 6,532.16 : x
  2. Step 2: Convert to fraction form
    10,256/14,153.28 = 6,532.16/x
  3. Step 3: Cross multiply
    10,256x = 14,153.28 × 6,532.16
  4. Step 4: Simplify right side
    10,256x = 92,451,489.48
  5. Step 5: Solve for x
    x = 92,451,489.48/10,256
  6. Step 6: Final answer
    x = 9,014.38

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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.