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Finding the Fourth Proportional to 25,214.94, 37,817.94 and 9,416.43

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Solution

The fourth proportional to 25,214.94, 37,817.94 and 9,416.43 is: 14,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.94 : 37,817.94 = 9,416.43 : x
  2. Step 2: Convert to fraction form
    25,214.94/37,817.94 = 9,416.43/x
  3. Step 3: Cross multiply
    25,214.94x = 37,817.94 × 9,416.43
  4. Step 4: Simplify right side
    25,214.94x = 356,109,984.75
  5. Step 5: Solve for x
    x = 356,109,984.75/25,214.94
  6. Step 6: Final answer
    x = 14,122.98

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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.