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Finding the Fourth Proportional to 10,003, 13,804.14 and 5,813.68

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Solution

The fourth proportional to 10,003, 13,804.14 and 5,813.68 is: 8,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003 : 13,804.14 = 5,813.68 : x
  2. Step 2: Convert to fraction form
    10,003/13,804.14 = 5,813.68/x
  3. Step 3: Cross multiply
    10,003x = 13,804.14 × 5,813.68
  4. Step 4: Simplify right side
    10,003x = 80,252,852.64
  5. Step 5: Solve for x
    x = 80,252,852.64/10,003
  6. Step 6: Final answer
    x = 8,022.88

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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.