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Finding the Fourth Proportional to 31,208.63, 46,809.50 and 7,835.13

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Solution

The fourth proportional to 31,208.63, 46,809.50 and 7,835.13 is: 11,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.63 : 46,809.50 = 7,835.13 : x
  2. Step 2: Convert to fraction form
    31,208.63/46,809.50 = 7,835.13/x
  3. Step 3: Cross multiply
    31,208.63x = 46,809.50 × 7,835.13
  4. Step 4: Simplify right side
    31,208.63x = 366,758,478.56
  5. Step 5: Solve for x
    x = 366,758,478.56/31,208.63
  6. Step 6: Final answer
    x = 11,751.83

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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.