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Finding the Fourth Proportional to 30,625.50, 45,938.25 and 9,849

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Solution

The fourth proportional to 30,625.50, 45,938.25 and 9,849 is: 14,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625.50 : 45,938.25 = 9,849 : x
  2. Step 2: Convert to fraction form
    30,625.50/45,938.25 = 9,849/x
  3. Step 3: Cross multiply
    30,625.50x = 45,938.25 × 9,849
  4. Step 4: Simplify right side
    30,625.50x = 452,445,824.25
  5. Step 5: Solve for x
    x = 452,445,824.25/30,625.50
  6. Step 6: Final answer
    x = 14,773.50

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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.