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Finding the Fourth Proportional to 31,015.25, 46,515.88 and 8,828.13

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Solution

The fourth proportional to 31,015.25, 46,515.88 and 8,828.13 is: 13,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.25 : 46,515.88 = 8,828.13 : x
  2. Step 2: Convert to fraction form
    31,015.25/46,515.88 = 8,828.13/x
  3. Step 3: Cross multiply
    31,015.25x = 46,515.88 × 8,828.13
  4. Step 4: Simplify right side
    31,015.25x = 410,648,235.70
  5. Step 5: Solve for x
    x = 410,648,235.70/31,015.25
  6. Step 6: Final answer
    x = 13,240.21

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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.