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Finding the Fourth Proportional to 13,398.84, 18,505.22 and 10,410.14

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Solution

The fourth proportional to 13,398.84, 18,505.22 and 10,410.14 is: 14,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.84 : 18,505.22 = 10,410.14 : x
  2. Step 2: Convert to fraction form
    13,398.84/18,505.22 = 10,410.14/x
  3. Step 3: Cross multiply
    13,398.84x = 18,505.22 × 10,410.14
  4. Step 4: Simplify right side
    13,398.84x = 192,641,786.35
  5. Step 5: Solve for x
    x = 192,641,786.35/13,398.84
  6. Step 6: Final answer
    x = 14,377.50

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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.