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Finding the Fourth Proportional to 10,523.13, 14,522.81 and 5,808.39

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Solution

The fourth proportional to 10,523.13, 14,522.81 and 5,808.39 is: 8,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.13 : 14,522.81 = 5,808.39 : x
  2. Step 2: Convert to fraction form
    10,523.13/14,522.81 = 5,808.39/x
  3. Step 3: Cross multiply
    10,523.13x = 14,522.81 × 5,808.39
  4. Step 4: Simplify right side
    10,523.13x = 84,354,115.33
  5. Step 5: Solve for x
    x = 84,354,115.33/10,523.13
  6. Step 6: Final answer
    x = 8,016.07

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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.