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Finding the Fourth Proportional to 23,817, 35,722.74 and 6,288.20

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Solution

The fourth proportional to 23,817, 35,722.74 and 6,288.20 is: 9,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 35,722.74 = 6,288.20 : x
  2. Step 2: Convert to fraction form
    23,817/35,722.74 = 6,288.20/x
  3. Step 3: Cross multiply
    23,817x = 35,722.74 × 6,288.20
  4. Step 4: Simplify right side
    23,817x = 224,631,733.67
  5. Step 5: Solve for x
    x = 224,631,733.67/23,817
  6. Step 6: Final answer
    x = 9,431.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.