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Finding the Fourth Proportional to 24,645.65, 36,970.52 and 9,846.50

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Solution

The fourth proportional to 24,645.65, 36,970.52 and 9,846.50 is: 14,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645.65 : 36,970.52 = 9,846.50 : x
  2. Step 2: Convert to fraction form
    24,645.65/36,970.52 = 9,846.50/x
  3. Step 3: Cross multiply
    24,645.65x = 36,970.52 × 9,846.50
  4. Step 4: Simplify right side
    24,645.65x = 364,029,991.09
  5. Step 5: Solve for x
    x = 364,029,991.09/24,645.65
  6. Step 6: Final answer
    x = 14,770.56

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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.