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Finding the Fourth Proportional to 25,614.60, 38,408.60 and 9,814.94

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Solution

The fourth proportional to 25,614.60, 38,408.60 and 9,814.94 is: 14,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.60 : 38,408.60 = 9,814.94 : x
  2. Step 2: Convert to fraction form
    25,614.60/38,408.60 = 9,814.94/x
  3. Step 3: Cross multiply
    25,614.60x = 38,408.60 × 9,814.94
  4. Step 4: Simplify right side
    25,614.60x = 376,978,225.04
  5. Step 5: Solve for x
    x = 376,978,225.04/25,614.60
  6. Step 6: Final answer
    x = 14,717.32

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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.