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Finding the Fourth Proportional to 10,523.87, 14,522.87 and 5,808.15

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Solution

The fourth proportional to 10,523.87, 14,522.87 and 5,808.15 is: 8,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.87 : 14,522.87 = 5,808.15 : x
  2. Step 2: Convert to fraction form
    10,523.87/14,522.87 = 5,808.15/x
  3. Step 3: Cross multiply
    10,523.87x = 14,522.87 × 5,808.15
  4. Step 4: Simplify right side
    10,523.87x = 84,350,978.35
  5. Step 5: Solve for x
    x = 84,350,978.35/10,523.87
  6. Step 6: Final answer
    x = 8,015.21

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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.