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Finding the Fourth Proportional to 24,477.81, 36,705.37 and 7,834.13

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Solution

The fourth proportional to 24,477.81, 36,705.37 and 7,834.13 is: 11,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.81 : 36,705.37 = 7,834.13 : x
  2. Step 2: Convert to fraction form
    24,477.81/36,705.37 = 7,834.13/x
  3. Step 3: Cross multiply
    24,477.81x = 36,705.37 × 7,834.13
  4. Step 4: Simplify right side
    24,477.81x = 287,554,640.28
  5. Step 5: Solve for x
    x = 287,554,640.28/24,477.81
  6. Step 6: Final answer
    x = 11,747.56

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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.