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Finding the Fourth Proportional to 13,000.02, 17,944.74 and 8,524.80

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Solution

The fourth proportional to 13,000.02, 17,944.74 and 8,524.80 is: 11,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.02 : 17,944.74 = 8,524.80 : x
  2. Step 2: Convert to fraction form
    13,000.02/17,944.74 = 8,524.80/x
  3. Step 3: Cross multiply
    13,000.02x = 17,944.74 × 8,524.80
  4. Step 4: Simplify right side
    13,000.02x = 152,975,319.55
  5. Step 5: Solve for x
    x = 152,975,319.55/13,000.02
  6. Step 6: Final answer
    x = 11,767.31

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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.