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Finding the Fourth Proportional to 10,509.44, 14,503.12 and 5,793.89

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Solution

The fourth proportional to 10,509.44, 14,503.12 and 5,793.89 is: 7,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.44 : 14,503.12 = 5,793.89 : x
  2. Step 2: Convert to fraction form
    10,509.44/14,503.12 = 5,793.89/x
  3. Step 3: Cross multiply
    10,509.44x = 14,503.12 × 5,793.89
  4. Step 4: Simplify right side
    10,509.44x = 84,029,481.94
  5. Step 5: Solve for x
    x = 84,029,481.94/10,509.44
  6. Step 6: Final answer
    x = 7,995.62

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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.