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Finding the Fourth Proportional to 11,004.50, 16,465.76 and 6,564.57

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Solution

The fourth proportional to 11,004.50, 16,465.76 and 6,564.57 is: 9,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.50 : 16,465.76 = 6,564.57 : x
  2. Step 2: Convert to fraction form
    11,004.50/16,465.76 = 6,564.57/x
  3. Step 3: Cross multiply
    11,004.50x = 16,465.76 × 6,564.57
  4. Step 4: Simplify right side
    11,004.50x = 108,090,601.30
  5. Step 5: Solve for x
    x = 108,090,601.30/11,004.50
  6. Step 6: Final answer
    x = 9,822.40

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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.