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Finding the Fourth Proportional to 37,846.15, 56,768.94 and 9,763.82

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Solution

The fourth proportional to 37,846.15, 56,768.94 and 9,763.82 is: 14,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.15 : 56,768.94 = 9,763.82 : x
  2. Step 2: Convert to fraction form
    37,846.15/56,768.94 = 9,763.82/x
  3. Step 3: Cross multiply
    37,846.15x = 56,768.94 × 9,763.82
  4. Step 4: Simplify right side
    37,846.15x = 554,281,467.40
  5. Step 5: Solve for x
    x = 554,281,467.40/37,846.15
  6. Step 6: Final answer
    x = 14,645.65

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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.