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Finding the Fourth Proportional to 9,903, 13,666.14 and 5,924.28

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Solution

The fourth proportional to 9,903, 13,666.14 and 5,924.28 is: 8,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903 : 13,666.14 = 5,924.28 : x
  2. Step 2: Convert to fraction form
    9,903/13,666.14 = 5,924.28/x
  3. Step 3: Cross multiply
    9,903x = 13,666.14 × 5,924.28
  4. Step 4: Simplify right side
    9,903x = 80,962,039.88
  5. Step 5: Solve for x
    x = 80,962,039.88/9,903
  6. Step 6: Final answer
    x = 8,175.51

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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.