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Finding the Fourth Proportional to 24,332.82, 36,499.31 and 6,802.80

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Solution

The fourth proportional to 24,332.82, 36,499.31 and 6,802.80 is: 10,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.82 : 36,499.31 = 6,802.80 : x
  2. Step 2: Convert to fraction form
    24,332.82/36,499.31 = 6,802.80/x
  3. Step 3: Cross multiply
    24,332.82x = 36,499.31 × 6,802.80
  4. Step 4: Simplify right side
    24,332.82x = 248,297,472.05
  5. Step 5: Solve for x
    x = 248,297,472.05/24,332.82
  6. Step 6: Final answer
    x = 10,204.22

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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.