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Finding the Fourth Proportional to 11,532, 15,914.16 and 6,564.96

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Solution

The fourth proportional to 11,532, 15,914.16 and 6,564.96 is: 9,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532 : 15,914.16 = 6,564.96 : x
  2. Step 2: Convert to fraction form
    11,532/15,914.16 = 6,564.96/x
  3. Step 3: Cross multiply
    11,532x = 15,914.16 × 6,564.96
  4. Step 4: Simplify right side
    11,532x = 104,475,823.83
  5. Step 5: Solve for x
    x = 104,475,823.83/11,532
  6. Step 6: Final answer
    x = 9,059.64

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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.