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Finding the Fourth Proportional to 24,607.44, 36,887.94 and 9,825.48

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Solution

The fourth proportional to 24,607.44, 36,887.94 and 9,825.48 is: 14,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.44 : 36,887.94 = 9,825.48 : x
  2. Step 2: Convert to fraction form
    24,607.44/36,887.94 = 9,825.48/x
  3. Step 3: Cross multiply
    24,607.44x = 36,887.94 × 9,825.48
  4. Step 4: Simplify right side
    24,607.44x = 362,441,716.71
  5. Step 5: Solve for x
    x = 362,441,716.71/24,607.44
  6. Step 6: Final answer
    x = 14,728.95

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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.