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Finding the Fourth Proportional to 24,849.60, 37,274.40 and 9,266.40

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Solution

The fourth proportional to 24,849.60, 37,274.40 and 9,266.40 is: 13,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849.60 : 37,274.40 = 9,266.40 : x
  2. Step 2: Convert to fraction form
    24,849.60/37,274.40 = 9,266.40/x
  3. Step 3: Cross multiply
    24,849.60x = 37,274.40 × 9,266.40
  4. Step 4: Simplify right side
    24,849.60x = 345,399,500.16
  5. Step 5: Solve for x
    x = 345,399,500.16/24,849.60
  6. Step 6: Final answer
    x = 13,899.60

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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.