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Finding the Fourth Proportional to 24,776.81, 37,155.49 and 9,982.97

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Solution

The fourth proportional to 24,776.81, 37,155.49 and 9,982.97 is: 14,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.81 : 37,155.49 = 9,982.97 : x
  2. Step 2: Convert to fraction form
    24,776.81/37,155.49 = 9,982.97/x
  3. Step 3: Cross multiply
    24,776.81x = 37,155.49 × 9,982.97
  4. Step 4: Simplify right side
    24,776.81x = 370,922,142.01
  5. Step 5: Solve for x
    x = 370,922,142.01/24,776.81
  6. Step 6: Final answer
    x = 14,970.54

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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.