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Finding the Fourth Proportional to 24,625.50, 36,938.25 and 6,157.50

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Solution

The fourth proportional to 24,625.50, 36,938.25 and 6,157.50 is: 9,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,625.50 : 36,938.25 = 6,157.50 : x
  2. Step 2: Convert to fraction form
    24,625.50/36,938.25 = 6,157.50/x
  3. Step 3: Cross multiply
    24,625.50x = 36,938.25 × 6,157.50
  4. Step 4: Simplify right side
    24,625.50x = 227,447,274.38
  5. Step 5: Solve for x
    x = 227,447,274.38/24,625.50
  6. Step 6: Final answer
    x = 9,236.25

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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.