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Finding the Fourth Proportional to 10,009.44, 14,999.57 and 6,835.86

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Solution

The fourth proportional to 10,009.44, 14,999.57 and 6,835.86 is: 10,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.44 : 14,999.57 = 6,835.86 : x
  2. Step 2: Convert to fraction form
    10,009.44/14,999.57 = 6,835.86/x
  3. Step 3: Cross multiply
    10,009.44x = 14,999.57 × 6,835.86
  4. Step 4: Simplify right side
    10,009.44x = 102,534,960.58
  5. Step 5: Solve for x
    x = 102,534,960.58/10,009.44
  6. Step 6: Final answer
    x = 10,243.83

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1.5x scale

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.