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Finding the Fourth Proportional to 13,804.86, 19,042.92 and 8,498.61

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Solution

The fourth proportional to 13,804.86, 19,042.92 and 8,498.61 is: 11,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.86 : 19,042.92 = 8,498.61 : x
  2. Step 2: Convert to fraction form
    13,804.86/19,042.92 = 8,498.61/x
  3. Step 3: Cross multiply
    13,804.86x = 19,042.92 × 8,498.61
  4. Step 4: Simplify right side
    13,804.86x = 161,838,350.34
  5. Step 5: Solve for x
    x = 161,838,350.34/13,804.86
  6. Step 6: Final answer
    x = 11,723.29

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1.5x scale

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.