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Finding the Fourth Proportional to 31,170.92, 46,756.36 and 7,797.34

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Solution

The fourth proportional to 31,170.92, 46,756.36 and 7,797.34 is: 11,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.92 : 46,756.36 = 7,797.34 : x
  2. Step 2: Convert to fraction form
    31,170.92/46,756.36 = 7,797.34/x
  3. Step 3: Cross multiply
    31,170.92x = 46,756.36 × 7,797.34
  4. Step 4: Simplify right side
    31,170.92x = 364,575,236.08
  5. Step 5: Solve for x
    x = 364,575,236.08/31,170.92
  6. Step 6: Final answer
    x = 11,696.00

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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.