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Finding the Fourth Proportional to 24,287.84, 36,433.06 and 7,649.17

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Solution

The fourth proportional to 24,287.84, 36,433.06 and 7,649.17 is: 11,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.84 : 36,433.06 = 7,649.17 : x
  2. Step 2: Convert to fraction form
    24,287.84/36,433.06 = 7,649.17/x
  3. Step 3: Cross multiply
    24,287.84x = 36,433.06 × 7,649.17
  4. Step 4: Simplify right side
    24,287.84x = 278,682,597.60
  5. Step 5: Solve for x
    x = 278,682,597.60/24,287.84
  6. Step 6: Final answer
    x = 11,474.16

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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.