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Finding the Fourth Proportional to 10,138.77, 13,990.93 and 5,662.80

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Solution

The fourth proportional to 10,138.77, 13,990.93 and 5,662.80 is: 7,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.77 : 13,990.93 = 5,662.80 : x
  2. Step 2: Convert to fraction form
    10,138.77/13,990.93 = 5,662.80/x
  3. Step 3: Cross multiply
    10,138.77x = 13,990.93 × 5,662.80
  4. Step 4: Simplify right side
    10,138.77x = 79,227,824.25
  5. Step 5: Solve for x
    x = 79,227,824.25/10,138.77
  6. Step 6: Final answer
    x = 7,814.34

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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.