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Finding the Fourth Proportional to 24,978.94, 37,457.46 and 9,385.62

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Solution

The fourth proportional to 24,978.94, 37,457.46 and 9,385.62 is: 14,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.94 : 37,457.46 = 9,385.62 : x
  2. Step 2: Convert to fraction form
    24,978.94/37,457.46 = 9,385.62/x
  3. Step 3: Cross multiply
    24,978.94x = 37,457.46 × 9,385.62
  4. Step 4: Simplify right side
    24,978.94x = 351,561,485.73
  5. Step 5: Solve for x
    x = 351,561,485.73/24,978.94
  6. Step 6: Final answer
    x = 14,074.32

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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.