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Finding the Fourth Proportional to 24,608.25, 36,912.38 and 6,140.25

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Solution

The fourth proportional to 24,608.25, 36,912.38 and 6,140.25 is: 9,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.25 : 36,912.38 = 6,140.25 : x
  2. Step 2: Convert to fraction form
    24,608.25/36,912.38 = 6,140.25/x
  3. Step 3: Cross multiply
    24,608.25x = 36,912.38 × 6,140.25
  4. Step 4: Simplify right side
    24,608.25x = 226,651,210.59
  5. Step 5: Solve for x
    x = 226,651,210.59/24,608.25
  6. Step 6: Final answer
    x = 9,210.38

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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.