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Finding the Fourth Proportional to 31,019.62, 46,506.75 and 9,947.67

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Solution

The fourth proportional to 31,019.62, 46,506.75 and 9,947.67 is: 14,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.62 : 46,506.75 = 9,947.67 : x
  2. Step 2: Convert to fraction form
    31,019.62/46,506.75 = 9,947.67/x
  3. Step 3: Cross multiply
    31,019.62x = 46,506.75 × 9,947.67
  4. Step 4: Simplify right side
    31,019.62x = 462,633,868.14
  5. Step 5: Solve for x
    x = 462,633,868.14/31,019.62
  6. Step 6: Final answer
    x = 14,914.23

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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.