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Finding the Fourth Proportional to 10,524.46, 14,523.62 and 5,808.64

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Solution

The fourth proportional to 10,524.46, 14,523.62 and 5,808.64 is: 8,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.46 : 14,523.62 = 5,808.64 : x
  2. Step 2: Convert to fraction form
    10,524.46/14,523.62 = 5,808.64/x
  3. Step 3: Cross multiply
    10,524.46x = 14,523.62 × 5,808.64
  4. Step 4: Simplify right side
    10,524.46x = 84,362,480.08
  5. Step 5: Solve for x
    x = 84,362,480.08/10,524.46
  6. Step 6: Final answer
    x = 8,015.85

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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.