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Finding the Fourth Proportional to 24,949.63, 37,416.65 and 8,305.77

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Solution

The fourth proportional to 24,949.63, 37,416.65 and 8,305.77 is: 12,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.63 : 37,416.65 = 8,305.77 : x
  2. Step 2: Convert to fraction form
    24,949.63/37,416.65 = 8,305.77/x
  3. Step 3: Cross multiply
    24,949.63x = 37,416.65 × 8,305.77
  4. Step 4: Simplify right side
    24,949.63x = 310,774,089.07
  5. Step 5: Solve for x
    x = 310,774,089.07/24,949.63
  6. Step 6: Final answer
    x = 12,456.06

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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.