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Finding the Fourth Proportional to 31,174.04, 46,761.06 and 7,800.48

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Solution

The fourth proportional to 31,174.04, 46,761.06 and 7,800.48 is: 11,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.04 : 46,761.06 = 7,800.48 : x
  2. Step 2: Convert to fraction form
    31,174.04/46,761.06 = 7,800.48/x
  3. Step 3: Cross multiply
    31,174.04x = 46,761.06 × 7,800.48
  4. Step 4: Simplify right side
    31,174.04x = 364,758,713.31
  5. Step 5: Solve for x
    x = 364,758,713.31/31,174.04
  6. Step 6: Final answer
    x = 11,700.72

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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.