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Finding the Fourth Proportional to 10,004.64, 13,804.50 and 6,026

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Solution

The fourth proportional to 10,004.64, 13,804.50 and 6,026 is: 8,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.64 : 13,804.50 = 6,026 : x
  2. Step 2: Convert to fraction form
    10,004.64/13,804.50 = 6,026/x
  3. Step 3: Cross multiply
    10,004.64x = 13,804.50 × 6,026
  4. Step 4: Simplify right side
    10,004.64x = 83,185,917
  5. Step 5: Solve for x
    x = 83,185,917/10,004.64
  6. Step 6: Final answer
    x = 8,314.73

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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.