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Finding the Fourth Proportional to 10,524.88, 14,524.14 and 5,809.24

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Solution

The fourth proportional to 10,524.88, 14,524.14 and 5,809.24 is: 8,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.88 : 14,524.14 = 5,809.24 : x
  2. Step 2: Convert to fraction form
    10,524.88/14,524.14 = 5,809.24/x
  3. Step 3: Cross multiply
    10,524.88x = 14,524.14 × 5,809.24
  4. Step 4: Simplify right side
    10,524.88x = 84,374,215.05
  5. Step 5: Solve for x
    x = 84,374,215.05/10,524.88
  6. Step 6: Final answer
    x = 8,016.64

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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.