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Finding the Fourth Proportional to 10,523.88, 14,522.94 and 5,808.16

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Solution

The fourth proportional to 10,523.88, 14,522.94 and 5,808.16 is: 8,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.88 : 14,522.94 = 5,808.16 : x
  2. Step 2: Convert to fraction form
    10,523.88/14,522.94 = 5,808.16/x
  3. Step 3: Cross multiply
    10,523.88x = 14,522.94 × 5,808.16
  4. Step 4: Simplify right side
    10,523.88x = 84,351,559.19
  5. Step 5: Solve for x
    x = 84,351,559.19/10,523.88
  6. Step 6: Final answer
    x = 8,015.25

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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.