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Finding the Fourth Proportional to 10,398.36, 14,349.36 and 5,922.12

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Solution

The fourth proportional to 10,398.36, 14,349.36 and 5,922.12 is: 8,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.36 : 14,349.36 = 5,922.12 : x
  2. Step 2: Convert to fraction form
    10,398.36/14,349.36 = 5,922.12/x
  3. Step 3: Cross multiply
    10,398.36x = 14,349.36 × 5,922.12
  4. Step 4: Simplify right side
    10,398.36x = 84,978,631.84
  5. Step 5: Solve for x
    x = 84,978,631.84/10,398.36
  6. Step 6: Final answer
    x = 8,172.31

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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.