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Finding the Fourth Proportional to 5,003.24, 7,503.50 and 1,883.12

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Solution

The fourth proportional to 5,003.24, 7,503.50 and 1,883.12 is: 2,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.24 : 7,503.50 = 1,883.12 : x
  2. Step 2: Convert to fraction form
    5,003.24/7,503.50 = 1,883.12/x
  3. Step 3: Cross multiply
    5,003.24x = 7,503.50 × 1,883.12
  4. Step 4: Simplify right side
    5,003.24x = 14,129,990.92
  5. Step 5: Solve for x
    x = 14,129,990.92/5,003.24
  6. Step 6: Final answer
    x = 2,824.17

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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.