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Finding the Fourth Proportional to 8,003, 11,039.24 and 5,314.34

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Solution

The fourth proportional to 8,003, 11,039.24 and 5,314.34 is: 7,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003 : 11,039.24 = 5,314.34 : x
  2. Step 2: Convert to fraction form
    8,003/11,039.24 = 5,314.34/x
  3. Step 3: Cross multiply
    8,003x = 11,039.24 × 5,314.34
  4. Step 4: Simplify right side
    8,003x = 58,666,274.70
  5. Step 5: Solve for x
    x = 58,666,274.70/8,003
  6. Step 6: Final answer
    x = 7,330.54

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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.