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Finding the Fourth Proportional to 10,725.76, 14,801.52 and 6,534

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Solution

The fourth proportional to 10,725.76, 14,801.52 and 6,534 is: 9,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.76 : 14,801.52 = 6,534 : x
  2. Step 2: Convert to fraction form
    10,725.76/14,801.52 = 6,534/x
  3. Step 3: Cross multiply
    10,725.76x = 14,801.52 × 6,534
  4. Step 4: Simplify right side
    10,725.76x = 96,713,131.68
  5. Step 5: Solve for x
    x = 96,713,131.68/10,725.76
  6. Step 6: Final answer
    x = 9,016.90

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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.