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Finding the Fourth Proportional to 25,165.36, 37,749 and 9,374.38

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Solution

The fourth proportional to 25,165.36, 37,749 and 9,374.38 is: 14,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.36 : 37,749 = 9,374.38 : x
  2. Step 2: Convert to fraction form
    25,165.36/37,749 = 9,374.38/x
  3. Step 3: Cross multiply
    25,165.36x = 37,749 × 9,374.38
  4. Step 4: Simplify right side
    25,165.36x = 353,873,470.62
  5. Step 5: Solve for x
    x = 353,873,470.62/25,165.36
  6. Step 6: Final answer
    x = 14,061.93

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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.