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Finding the Fourth Proportional to 31,177, 46,765.23 and 7,803.55

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Solution

The fourth proportional to 31,177, 46,765.23 and 7,803.55 is: 11,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177 : 46,765.23 = 7,803.55 : x
  2. Step 2: Convert to fraction form
    31,177/46,765.23 = 7,803.55/x
  3. Step 3: Cross multiply
    31,177x = 46,765.23 × 7,803.55
  4. Step 4: Simplify right side
    31,177x = 364,934,810.57
  5. Step 5: Solve for x
    x = 364,934,810.57/31,177
  6. Step 6: Final answer
    x = 11,705.26

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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.