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Finding the Fourth Proportional to 24,802.40, 37,202.81 and 6,082.49

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Solution

The fourth proportional to 24,802.40, 37,202.81 and 6,082.49 is: 9,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.40 : 37,202.81 = 6,082.49 : x
  2. Step 2: Convert to fraction form
    24,802.40/37,202.81 = 6,082.49/x
  3. Step 3: Cross multiply
    24,802.40x = 37,202.81 × 6,082.49
  4. Step 4: Simplify right side
    24,802.40x = 226,285,533.78
  5. Step 5: Solve for x
    x = 226,285,533.78/24,802.40
  6. Step 6: Final answer
    x = 9,123.54

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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.