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Finding the Fourth Proportional to 31,176.80, 46,764.84 and 7,803.24

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Solution

The fourth proportional to 31,176.80, 46,764.84 and 7,803.24 is: 11,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.80 : 46,764.84 = 7,803.24 : x
  2. Step 2: Convert to fraction form
    31,176.80/46,764.84 = 7,803.24/x
  3. Step 3: Cross multiply
    31,176.80x = 46,764.84 × 7,803.24
  4. Step 4: Simplify right side
    31,176.80x = 364,917,123.98
  5. Step 5: Solve for x
    x = 364,917,123.98/31,176.80
  6. Step 6: Final answer
    x = 11,704.77

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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.