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Finding the Fourth Proportional to 25,337.82, 37,995.78 and 9,744.50

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Solution

The fourth proportional to 25,337.82, 37,995.78 and 9,744.50 is: 14,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,337.82 : 37,995.78 = 9,744.50 : x
  2. Step 2: Convert to fraction form
    25,337.82/37,995.78 = 9,744.50/x
  3. Step 3: Cross multiply
    25,337.82x = 37,995.78 × 9,744.50
  4. Step 4: Simplify right side
    25,337.82x = 370,249,878.21
  5. Step 5: Solve for x
    x = 370,249,878.21/25,337.82
  6. Step 6: Final answer
    x = 14,612.54

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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.