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Finding the Fourth Proportional to 10,398.57, 14,349.99 and 5,922.32

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Solution

The fourth proportional to 10,398.57, 14,349.99 and 5,922.32 is: 8,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.57 : 14,349.99 = 5,922.32 : x
  2. Step 2: Convert to fraction form
    10,398.57/14,349.99 = 5,922.32/x
  3. Step 3: Cross multiply
    10,398.57x = 14,349.99 × 5,922.32
  4. Step 4: Simplify right side
    10,398.57x = 84,985,161.03
  5. Step 5: Solve for x
    x = 84,985,161.03/10,398.57
  6. Step 6: Final answer
    x = 8,172.77

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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.