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Finding the Fourth Proportional to 31,084.56, 46,626.84 and 7,711.00

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Solution

The fourth proportional to 31,084.56, 46,626.84 and 7,711.00 is: 11,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.56 : 46,626.84 = 7,711.00 : x
  2. Step 2: Convert to fraction form
    31,084.56/46,626.84 = 7,711.00/x
  3. Step 3: Cross multiply
    31,084.56x = 46,626.84 × 7,711.00
  4. Step 4: Simplify right side
    31,084.56x = 359,539,446.67
  5. Step 5: Solve for x
    x = 359,539,446.67/31,084.56
  6. Step 6: Final answer
    x = 11,566.50

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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.